SOLUTION: the average 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? A.36 yrs B.28 yrs C.32 yrs D.40yrs

Algebra ->  Average -> SOLUTION: the average 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? A.36 yrs B.28 yrs C.32 yrs D.40yrs      Log On


   



Question 631000: the average 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?
A.36 yrs B.28 yrs C.32 yrs D.40yrs

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
((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