Joe, Kate and Jody are members of the same family. Kate is 5 years older than Joe. Jody is 6 years older than Kate . The sum of their ages squared is 961 years. What are their ages?

5, 10 and 16

Explanation:

The sum of their ages is √961 = 31

If Joe is x years old, the equation that follows is:

x + (x+5) + (x+5+6) = 31

This simplifies to

3x = 31 - 11 - 5 = 15

so x=5

From that you can find

Joe = x = 5

Kate = x+5 = 10

Jody = x+5+6 = 16

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