Question

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.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

Answer 1

Let the sum of nine member (total) =x

and 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.