SOLUTION: A woman's age and her son's age add up to 45 years old. Five years ago, the woman was 6 times as old as her son. How old was the woman when the son was born.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A woman's age and her son's age add up to 45 years old. Five years ago, the woman was 6 times as old as her son. How old was the woman when the son was born.      Log On


   

Question 829805: A woman's age and her son's age add up to 45 years old. Five years ago,
the woman was 6 times as old as her son. How old was the woman when the
son was born.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = woman
y = son
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x + y = 45
x - 5 = 6(y - 5)
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put the system of linear equations into standard form:
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x + y = 45
x - 5 = 6y - 30
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x + y = 45
x - 6y = -25
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today:
x = woman = 35
y = son = 10
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when the son was born:
x = woman = 25
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