Father–son age total after 5 years: A son is 25 years younger than his father. The father was 45 four years ago. What will be the total of their ages after 5 years?
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A82 years
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B88 years
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C83 years
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D78 years
Answer
Correct Answer: 83 years
Explanation
Introduction / Context:Determine the present ages first, then project forward by 5 years and add. Translate “was 45 four years ago” correctly into “is 49 now.” Apply the 25-year difference to obtain the son’s current age.
Given Data / Assumptions:
- Father 4 years ago = 45 ⇒ Father now = 49
- Son now = Father now − 25 = 24
- Find (Father + Son) after 5 years
Concept / Approach:After 5 years, add 5 to each current age and sum them. Alternatively, add 10 to the present total since two people each gain 5 years.
Step-by-Step Solution:
Father in 5 years = 49 + 5 = 54Son in 5 years = 24 + 5 = 29Total = 54 + 29 = 83Verification / Alternative check:Present total is 73; adding 10 (5 each) gives 83, consistent.
Why Other Options Are Wrong:82, 88, 78 do not match the correctly computed sum after 5 years.
Common Pitfalls:Using “was 45 four years ago” as the present age or subtracting 25 from 45 instead of from 49.
Final Answer:83 years