SOLUTION: a womans age and her sons add up to 45 years, five years ago the woman was 6 times as old aas her son, how old was the woman when the boy was born

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Question 714918: a womans age and her sons add up to 45 years, five years ago the woman was 6 times as old aas her son, how old was the woman when the boy was born
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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