The Children
Algebra
Level
pending
The combined ages of Tom, Sherry and Fred is 37. The product of their ages is 1008. Which of the following could be the age of Tom, if he is the oldest child?
17
24
13
There’s no possible combination
18
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1 solution
Of the 4 numerical answer choices, 24 and 18 are the only choices that are factors of 1008. 1008/18 = 56. Sherry and Fred would have a combined age of 19 (37 - 18). Of the factors of 56, none of them add to 19. 1008/24=42. Sherry and Fred have a combined age of 13. Two numbers that have a sum of 13 and a product of 42 would be 6 and 7. So 24 is the correct answer for Tom's age.