SOLUTION: The first woman is 8 years younger than a man, and the man is 9 years older than the second woman. If the sum of their ages is 300, what is the age of the first woman? Calculate th

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: The first woman is 8 years younger than a man, and the man is 9 years older than the second woman. If the sum of their ages is 300, what is the age of the first woman? Calculate th      Log On

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Question 1058364: The first woman is 8 years younger than a man, and the man is 9 years older than the second woman. If the sum of their ages is 300, what is the age of the first woman? Calculate this for me, please?

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let m represent the man's age. Then the first woman is m-8, and the 2nd woman is m-9. So:
m+m-8+m-9=300
3m=317
m=105.67
The age of the first woman is 105.67-8, or 97.67 years. ☺☺☺☺