Ratio of ages of father and son is 3 : 1. The product of their ages is 147. What is the sum of their ages?
Correct Answer:
C. 28
Explanation:
To find the sum of their ages, we first determine the individual ages based on the given ratio and product. Let the father's age be 3x and the son's age be x. According to the problem, the product of their ages is 147, so (3x)(x) = 147, which simplifies to 3x squared = 147. Dividing both sides by 3 gives x squared = 49, meaning x = 7. Therefore, the son is 7 years old and the father is 21 years old (3 times 7). Adding their ages together (21 + 7) results in a total of 28.
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