**Hard Puzzle Age - 3 November**

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

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The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

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40 yrs younger than older person.

ReplyDelete40 years

ReplyDeleteits 40

ReplyDelete36

ReplyDelete40

ReplyDeleteEach of the other 9 members will be older by 4 years,

so 4*9=36

so the new member need to be younger by 36 from the old one from 4 years ago

s0 36+4=40

answer is 40!!!

ReplyDelete36 years younger than the member he was replaced with. :)

ReplyDeleteLet the sum of nine member (total) =x

ReplyDeleteand the age of old one=z

so its average 4 yrs before=(x+z)/10.

after 4 yrs let z be replaced by y.

so now avg=(x+4*10+y)/10

now (x+z)/10=(x+40+y)/10

so after solving it found

z=y+40.

so old person is 40yrs older than young one.

Admin's solution is erroneous.

ReplyDeleteIn line 5 should read x+4*9 +y

and the answer would be 36 -Tarique

Let the sum of nine member (total) =x

Deleteand the age of old one=z

so its average 4 yrs before=(x+z)/10.

after 4 yrs let z be replaced by y.

so now avg=(x+4*10+y)/10

now (x+z)/10=(x+40+y)/10

so after solving it found

z=y+40.

so old person is 40yrs older than young one.