Problem on ages

Algebra Level 1

The product of the ages of three sisters is 36.The sum of their ages is a prime number.The youngest sister likes ice-cream. Find the product of the ages of the two elder sisters,if all are of different ages.


The answer is 18.

Naitik Sanghavi by naitik sanghavi , 20, India

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3 solutions

Asif Rochy
Aug 5, 2015

36=2 2 3 3=2 3 6;
2+3+6=11 (Prime Number);
Product of Elder Sisters=3

6=18

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6 x 3 x 2 is the only way we can get 36 by 3 different numbers. 6+3+2, is a prime number as well. The two largest ages are 6 and 3, and so the product of theirs is 18!

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Nelson Mandela
Jul 27, 2015

36 can be written as 6 x 6 = 6 x 3 x 2. let us verify the sum is prime rule.

6+3+2=11 is a prime!!!.

So, product of two elder sisters is 18.

Please post a different solution if you get any other possibility.

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Just a question. Isn't the purpose of saying that there is a younger sister to let you know that there are not two sisters of the same age? Why do you have to put it again at the end?

Chels Sandy - 5 years, 10 months ago

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There is a younger sister means that the older sisters can be of the same age but not the younger sister. Last statement declares that all are of different ages.. So the first statement was to confuse others...

naitik sanghavi - 5 years, 10 months ago

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