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(#M40004902) GENPACT question Average Keep an EYE

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago.What is the difference between the ages of the replaced and the new member?
A. 2 years
B. 4 years
C. 8 years
D. 15 years

Asked In GENPACT (13 years ago)

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akhilesh singh  (10 years ago)

the age 5 members will be 13,14,15,16 and 17
3 years before there age was 10,11,12,13 and 14 hence the average is 12(10+11+12+13+14/5=60/5=12).
now if the oldest man 17 is replaced by 2 the the average is become same as three years ago the are .
as (13+14+15+16+2)/5 = 60/5=12.
hence the difference between the ages of the replaced and the new member is 17-2=15.
Ans:D.15

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snehasish debnath  (6 years ago)

let, 3 years ago avg age was x,
so,
x= (5x+15-o+n)/5 where o = age of older person, n= age of the new person,
so after solving o-n coming as 15 which is the required answer.

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