Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A club consists of members whose ages are in A.P., the common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the numbers is 250 years, then the number of members in the club are -
Text Solution
Verified by ExpertsThe correct answer is:
B
S n = 
[2a + (n – 1)d]
Here a = 1 st term = 7 years, d = 3 months = 
year,
S n = 250 years.
250 = 
⇒ 250 = 
⇒ 2000 = n 2 + 55n ⇒ n 2 + 55n – 2000 = 0
⇒ (n – 25) (n + 80) = 0 ⇒ n = 25
∴ Number of members in the club = 25.
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