Question 1140360
A woman is 4 times older than her child.
w = 4c
 5 years ago the woman was 5 times the age of the child.
w - 5 = 5(c-5)
w - 5 = 5c - 25
w = 5c - 25 + 5
w = 5c - 20
replace w with 4c, from the 1st equation
4c = 5c - 20
20 = 5c - 4c
c = 20 yrs is the child's age
:
 Find the mothers age
w = 4(20)
w = 80 yrs is the mother's age
:
:
Check in the statement
"5 years ago the woman was 5 times the age of the child."
80 - 5 = 5(20 - 5)
75 = 5(15)