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A 35 year old woman - Math Riddle


A 35 year old woman has 3 children. If you multiply the 3 children's ages, you get 36. If you add up the children's ages it's 13. And her oldest child plays basketball for 3 years. How old are the kids?

 

 

They are 2, 2, and 9.

Explanation :  

If you list out the trio of factors that multiply to 36, you get: 1 1 36 = 38 1 2 18 = 21 1 3 12 = 16 1 4 9 = 14 6 6 1 = 13 2 2 9 = 13 2 3 6 = 11 3 3 4 = 10 If the sum is 13, as you can see, there are 2 options. When she sa ys her 'oldest' you know it cannot be {6, 6, 1} since she would have two 'older' sons, not an 'oldest'.

 

 


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