SOLUTION: Jack is 13 years older than Mary. Together their ages total 153. How old is Jack and how old is Mary?

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Question 936752: Jack is 13 years older than Mary. Together their ages total 153. How old is Jack and how old is Mary?
Found 2 solutions by Edwin McCravy, Danielshinmath:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The words translate to



Substitute (M+13) for J in the second equation.
Solve that for M
Take what you get for M and substitute it in J=M+13.
Then solve for J.

Edwin
Answer by Danielshinmath(31)   (Show Source): You can put this solution on YOUR website!
Since Jack is 13 years older than Mary, write it like this.
J=M+13, where J is Jack and M is Mary.
If J+M=153, the substitute J for M+13.
It ends up looking like this- 2M+13=153.---> 2M=140--->M=70
So Mary is 70, and Jack is 70+13=83 years old.
ANSWER: MARY=70,JACK=83
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