In a village the average age of n people is 39 years. After verification, it…
2025
In a village the average age of n people is 39 years. After verification, it was found that one person was 50 years older than his age considered in the average. The new average, after correction, increased by 1. The value of n is?
Answer: C. 50 — Solution: Let n be the number of people. Initial total age = 39 × n = 39n. After verification one person's true age is 50 years more, so new total = 39n + 50.…
- A.
40
- B.
45
- C.
50
- D.
55
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Correct answer: C
Solution: Let n be the number of people.
Initial total age = 39 × n = 39n.
After verification one person's true age is 50 years more, so new total = 39n + 50.
The new average increases by 1 to 40, so (39n + 50)/n = 40.
Simplify: 39 + 50/n = 40 ⇒ 50/n = 1 ⇒ n = 50.
Answer: There are 50 people.