you can narrow it down to 50 50 because it says the princess is as old as the prince will be, implying that the princess is older. from there I just guess and got it right the last time I was there

This was really simple, yes it was tricky but the concept is based on common sense.

I could be wrong in my way for the solution.

What I did was FIRSTLY to look for the option that matches "Princess is older than Prince" and validates it, because Princess is twice the age of the Prince meaning Prince is younger to the Princess

So, possible answers are 1 and 3

But, option 1 can't be the answer simple because Princess is twice as old as the Prince WAS , which option 3 makes up in relation to option 1.

3. Prince = 30, Princess = 40 ( Princess is twice the age of Prince in option 1)

Basically options are inter-related and their past ages are also a part of the options. We just have to relate one option (current age) with another (older age) that validates, (a) Princess is older than Prince (b) But, Princess age should be twice in the Past of any age Prince was.

There's probably a way to turn it into an algebra problem, but I just did trial and error. The hardest part was wrapping my head around how the question was worded.

It's the "half the sum of their present age" part that got me, when it's not the combined total of both their ages at all. Only clued in when I focused on "age" not being plural and "sum" being only a referential term, not an actionable one.

In fact, I don't know why the last part of the riddle is worded like that at all, when it's only the age of the princess that's important.

edit: Though, looking at it again, the use of "their" was likely perspective. This is why I both love and hate writing.

The princess' current age = h. The prince's current age = k. The princess' age at a certain point in the past was (h + k)/2. The prince's age at that time was k - [h - (h+k)/2] which, after a little algebra, gives us (3k-h)/2. In exactly (h-k) years the prince will be h years old and the princess will be h+(h-k) = 2h-k years old. At that time, she will be twice as old as he was at that point in the past so (2h-k) = 2*[(3k-h)/2]. At this point, you cannot solve for either h or k *but* if you examine the ratio h/k you will see that there is only one possible solution.

In fact, I don't know why the last part of the riddle is worded like that at all, when it's only the age of the princess that's important.

edit: Though, looking at it again, the use of "their" was likely perspective. This is why I both love and hate writing.

the last part says, ".. when the princess's age was half the sum of their present age".

It means both Prince and Princess's age has to be same because Princess is twice as old as Prince was... meaning Princess is not twice the age but twice of what Prince's age was.

Note the difference between (twice as old as) and (twice the age).

In short, Princess has to be (twice the age) to be half the sum of their age's put together, be it past or present!.. This was to simply put to confuse the reader.

AND thats why I completely ignored it right from the start because the Options clearly show that Princess is not twice the age BUT twice as old as Prince was, meaning Prince is not half the age of Princess.

Oh that one! I like math and logic puzzles, so this was a treat for me. I did solve it on paper, though I admit it took me longer than similar riddle asked in prison in BG1 (you know, when the child killer started bragging about how many children he killed). I kinda wished back then that more puzzles were constructed like this, but on the other hand I realize it would frustrate a lot of players who don't care about math at all. Still, it's one more thing to love this game for - once in a while it would look you in the eye and say: 'hey, geek. We see you. Have a cookie. Now carry on playing.' ^__^

The princess' current age = h. The prince's current age = k. The princess' age at a certain point in the past was (h + k)/2. The prince's age at that time was k - [h - (h+k)/2] which, after a little algebra, gives us (3k-h)/2. In exactly (h-k) years the prince will be h years old and the princess will be h+(h-k) = 2h-k years old. At that time, she will be twice as old as he was at that point in the past so (2h-k) = 2*[(3k-h)/2]. At this point, you cannot solve for either h or k *but* if you examine the ratio h/k you will see that there is only one possible solution.

Hm, I minimized it to 3 h = 4 k. I think that it's easier on the eyes. ^^

easiest way to solve this is to draw it out in bars- for example: _ _ _ = prince -- = princess i didn't take the exact numbers of the question this time, but that's how i figured it out. i gave a simplified version of this as an exercise to kids (10-11 year-olds) in my class and they worked it out just fine

easiest way to solve this is to draw it out in bars- for example: _ _ _ = prince -- = princess i didn't take the exact numbers of the question this time, but that's how i figured it out. i gave a simplified version of this as an exercise to kids (10-11 year-olds) in my class and they worked it out just fine

Using kids to solve your problem? - "you are such a meany!" says the neutral good character and I reply "congrats on using your resources to the full extent" xD xD xD

Heh, sure, sure, everyone's wanting out, but does the world really want us out? Maybe it's safer if we all just stay in here, heh... Monster to monster now, murderer to murderer, how many little children passed away at old Neb's hands? Not one, not two, neither four nor seven nor twelve nor twenty but the next one, the next one in the sequence...

It's a little off-topic, but... On the screenshot, if you fix one of the character's cusror on the ground, you can see the others cursor moving as if they were animated !

@Mathsorcerer, do I understand you correctly that the answer cannot be obtained without being given the multiple choices? I always thought that the problem was a solveable system of equations. Can you derive the correct answer algebraically (h=40, k=30), without referring to given answers?

If not, then I have learned something here. It's not a pure algebra problem, it's a logic problem where some algebraic manipulation helps - "Given these conditions, which of the following four statements could be true?"

I never could simplify the conditions down to the easy ratio like you have - I could always narrow it down to the two answers where the princess is older, but I had to guess 50-50 from there. Kudos on your logical and mathematical acumen.

The thing is that all you get is a ratio: h/k = 4/3.

This means there are an infinite set of solutions. Luckily, five ratios are given as alternatives: a) h/k = 3/2 b) h/k = 3/4 c) h/k = 4/3 d) h/k = 2/3 e) h/k = 1

Out of these alternatives, only c) fits the answer of the equation.

You can read off directly that it only gives you a ratio, in fact: just note from the original statement of the puzzle that doubling or halving the ages would leave the condition invariant.

You can read off directly that it only gives you a ratio, in fact: just note from the original statement of the puzzle that doubling or halving the ages would leave the condition invariant.

Exactly It is about reading between the lines, going through options and pick the correct one based on logic rather following a set calculation, after all its a game and the approach needs to be simply judge the options meaningfully integrated into the puzzle. We don't find such games any more with that qualify to such level of immersion. The closest pick would be Witcher Series and upcoming Divinity:Original Sin

## Comments

1,6321,78150I could be wrong in my way for the solution.

What I did was FIRSTLY to look for the option that matches "Princess is older than Prince" and validates it, because Princess is twice the age of the Prince meaning Prince is younger to the Princess

So, possible answers are 1 and 3

But, option 1 can't be the answer simple because Princess is twice as old as the Prince

, which option 3 makes up in relation to option 1.WAS3. Prince = 30, Princess = 40 ( Princess is twice the age of Prince in option 1)

Basically options are inter-related and their past ages are also a part of the options. We just have to relate one option (current age) with another (older age) that validates,

(a) Princess is older than Prince

(b) But, Princess age should be twice in the Past of any age Prince was.

265His second question is a lot easier!

180theirpresent age" part that got me, when it's not the combined total of both their ages at all. Only clued in when I focused on "age" not being plural and "sum" being only a referential term, not an actionable one.In fact, I don't know why the last part of the riddle is worded like that at all, when it's only the age of the princess that's important.

edit: Though, looking at it again, the use of "their" was likely perspective. This is why I both love and hate writing.

3,0342,607813Jesus

2,6073,0341,6321,645I couldnt so again I cheated and looked up the answer.

3,85350It means both Prince and Princess's age has to be same because Princess is

twice as old asPrince was... meaning Princess isnot twice the agebut twice of what Prince's age was.Note the difference between (twice as old as) and (twice the age).

In short, Princess has to be (twice the age) to be half the sum of their age's put together, be it past or present!.. This was to simply put to confuse the reader.

AND thats why I completely ignored it right from the start because the Options clearly show that Princess is not twice the age BUT twice as old as Prince was, meaning Prince is not half the age of Princess.

51414973214540_ _ _ = prince

-- = princess

i didn't take the exact numbers of the question this time, but that's how i figured it out.

i gave a simplified version of this as an exercise to kids (10-11 year-olds) in my class and they worked it out just fine

149and I reply "congrats on using your resources to the full extent"

xD xD xD

540214114I checked the answer and it's correct.

Solved the genie one by algebra though. That one is much harder than neb's.

45On the screenshot, if you fix one of the character's cusror on the ground, you can see the others cursor moving as if they were animated !

3,0345645,653If not, then I have learned something here. It's not a pure algebra problem, it's a logic problem where some algebraic manipulation helps - "Given these conditions, which of the following four statements could be true?"

I never could simplify the conditions down to the easy ratio like you have - I could always narrow it down to the two answers where the princess is older, but I had to guess 50-50 from there. Kudos on your logical and mathematical acumen.

114This means there are an infinite set of solutions. Luckily, five ratios are given as alternatives:

a) h/k = 3/2

b) h/k = 3/4

c) h/k = 4/3

d) h/k = 2/3

e) h/k = 1

Out of these alternatives, only c) fits the answer of the equation.

82350It is about reading between the lines, going through options and pick the correct one based on logic rather following a set calculation, after all its a game and the approach needs to be simply judge the options meaningfully integrated into the puzzle.

We don't find such games any more with that qualify to such level of immersion.

The closest pick would be Witcher Series and upcoming Divinity:Original Sin