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Question 8

Shanti has three daughters. The average age of them is 15 years. Their ages are in the ratio $$3 \colon 5 \colon 7$$. The age of the youngest daughter is (in years)

Solution

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The total age of the three daughters is $$3 \times 15 = 45$$ years. Dividing 45 in the ratio $$3 \colon 5 \colon 7$$ (15 parts total), each part is $$\frac{45}{15} = 3$$, so the youngest is $$3 \times 3 = 9$$ years old.

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