Question

The average age of 8 men is increased by 2 years when one of them whose age is 24 years is replaced by a woman. What is the age of the woman?

Answer 1

((7m+24)/8)+2=(7m+x)/8
2+1/8 (24+7 m) = 1/8 (7 m+x)
2+1/8 (24+7 m) = 1/8 (7 m+x)
2+24/8+(7 m)/8 = (7 m)/8+x/8
2+3+(7 m)/8 = (7 m)/8+x/8
= (7 m)/8+5 = (7 m)/8+x/8
5=x/8
x=40