Question 714918
woman's age=x
son's age = y

x+y = 45.............(1)

x-5 = 6(y-5)
x-5= 6y-30
x-6y=-25..............(2)

multiply equation (1) by 6
we get 6x+6y=270

add this to equation (2)

we get
7x= 245

x= 35

woman's age = 35

plug x
to get son's age
y=10

woman was 25 years when son was born