SOLUTION: Colleen has three daughters. The sum of her daughters’ ages is 13, and the product of their ages is 48. Find the ages of the daughters to the nearest year.

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Question 1011337: Colleen has three daughters. The sum of her daughters’ ages is 13, and the product of their ages is 48. Find the ages of the daughters to the nearest year.
Answer by ikleyn(52781) About Me  (Show Source):
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Colleen has three daughters. The sum of her daughters’ ages is 13, and the product of their ages is 48.
Find the ages of the daughters to the nearest year.
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Answer. 8, 2 and 3 years.

Solution

Consider different factorizations of the number 48 as the product of three factors,
and select an appropriate one with the sum of factors 13.