Difficulty: Easy
Correct Answer: 45 yr
Explanation:
Introduction / Context:
With both a ratio and a difference, solve for the ratio multiplier, then compute individual ages and the sum.
Given Data / Assumptions:
Concept / Approach:
Find k from the difference in the ratio components; sum is then 15k.
Step-by-Step Solution:
Verification / Alternative check:
Ratio check: 21 : 24 reduces to 7 : 8; difference 3 holds.
Why Other Options Are Wrong:
41, 43, 48 do not equal 15k with k = 3.
Common Pitfalls:
Treating the difference as 7k − 8k = 3 (negative) or summing 7 + 8 first.
Final Answer:
45 yr.
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