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IMSO 2016 — Mathematics — Short Answer Question 11

IMSO Maths · IMSO 2016 — Mathematics — Short Answer

Question 11

On her 40th birthday, Mrs. Sharma makes gifts to her two sons whose ages are both prime numbers. She gives to one son some number of dollars that is equal to the square of his age and to the other son some number of dollars that is equal to his age. If she gives 300 dollars in total, what is the sum of the ages of Mrs. Sharma’s two sons?