One big family

Algebra Level 1

A family has 3 children under 18 years of age. If the difference in age between the oldest child and middle child is 2 years, and the difference between the middle child and youngest child is 3 years, and the product of the ages of the three children is 594, how old is the middle child?

8 6 9 11

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1 solution

Alice Kilbride
May 28, 2015

Oldest=middle+2. Youngest = middle -3 so if m= middle then m(m-3)(m+2)=594. 594 is 9(66) or 9(6)(11) or 9(9-3)(9+2) so m=9

Moderator note:

Yes, this is the standard way to solve the problem.

We can solve the problem by also finding it's factors

Gourab Roy - 6 years ago

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Yes indeed! @Gourab Roy

Anik Mandal - 6 years ago

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