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Ravi Swami

· started a discussion

· 1 Months ago

Complete solution

Question:

A club consists of members whose ages are in AP, 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 members is 250 yrs, then the number of members in the club are:

Options:
A)

15

B)

20

C)

25

D)

30

Solution:

Ans: (c)


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

hear after put their respective values in formula of sum of an AP series.
250= 7n+n^2/8- n/8
250*8= 56n+ n^2-n
2000= 55n+n^2
n^2+55n-2000=0
by factorization-
n^2+80n-25n-2000=0
n(n+80)-25(n+80)=0
n+80=0
n= -80 neglect the negative value
n-25=0
n=25

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Team Topankers

Vikram Singh

· commented

· 1 Months ago

Yet to be approved!

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