IQ question i hope you could help me with?

Question

Heya
this question is the one of the questions i had on an IQ test and the only one i still remember so i wanted to see if you guys could help me solve it methodically.
I think i solved it but using trial and error not math
Anyways here goes as i recall:
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The sum of 2 friend's age is 63                          
When person x was the age of person y, person x was twice as old as person y
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That's basically it
I got x+y=63
and x' = y 'when' x' = 2y'

so i was stuck then tried it using trial and error
got 38 for one and 25 for the other
so sum = 63
and when x(38) was the age of y(25) 
y was 12 years old....which is 25/2 (minus the fraction)


thank you in advance

Anonymous · Accepted Answer

The answer is rather simple.

You stated: "x = 2y" which is correct. The total of x+y will be 63. What I did was merely multiply 2 times certain numbers which would have yielded the number twice of that; then I simply added the result of "x" to the "y" in 2y.

Thus, 2(21)= 42 therefore: 21 + 42 = 63

It also could have been done by rearranging 2y=x (diving by 2y on both sides) leaving:

y = x/2 which is 42/2 = 21 then 42 + 21 = 63

However, I found guessing the correct number to be slightly more difficult utilizing this form.

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IQ question i hope you could help me with?

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