Question

When i young member is substituted for an old member in a group of 8 people their average age becomes the same as it was a 3 years ago the incoming member is younger to the outgoing member by?

Answer 1

young member is substituted for an old member in a group of 8 people their average age becomes the same as it was a 3 years ago the incoming member is younger to the outgoing member.

Answer 2

Answer:

Hence The incoming member is younger to the outgoing member by 24 years

Step-by-step explanation:

Let the 8 members be a ,b,c,d,e,f,g,h

let the total age of 8 members 3 years ago be x.

Total age of 8 members at present = a+3+b+3+c+3+d+3+e+3+f+3+g+3+h+3 = a+b+c+d+e+f+g+h + 24

Total age of 8 members at present = x+ 24

Let y be the difference in the ages of  incoming younger member and outgoing member

So, new total = x+ 24 - y

Now we are given that average of ages of 89 members after substitution is same as average it was a 3 years ago.

So, $\frac{x}{8}=\frac{x+24-y}{8}$

$x=x+24-y$

$24=y$

Hence The incoming member is younger to the outgoing member by 24 years