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The Aging Brothers (Posted on 2003-08-14) Difficulty: 1 of 5
The product of 3 brothers' ages is 567. Two are twins.

How old is the other one?

See The Solution Submitted by Jayaram S    
Rating: 3.0000 (9 votes)

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Solution Puzzle Solution | Comment 16 of 18 |

Let the age of the twins be x years while the age of the other
sibling is y years.

Then, by the problem, we have x^2* y = 567

Now, we observe that:
567
= 1^2*567
 = 3^2*63
= 9^2*7

Since  any personís age cannot exceed 100, the first case is ruled out.
In the second case, the remaining sibling is 63, which makes him
60 years older than the twins( 3 years)

This is also impossible.

Consequently, the age of the twins must be 9 years while the other brother is 7 years old.


 


  Posted by K Sengupta on 2007-03-24 11:42:58
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