SOLUTION: Melissa is 5 years younger than Ann. In 6 years, the sum of their ages will be 35. How old is each now?

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Question 1069659: Melissa is 5 years younger than Ann. In 6 years, the sum of their ages will be 35. How old is each now?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
A - M = 5,                 (1)
(A+6) + (M+6) = 35.        (2)

--->

A - M =  5,                (3)
A + M = 23.                (4)

Add the two equations (3) and (4) (both sides) and see what will happen.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Melissa is 5 years younger than Ann. In 6 years, the sum of their ages will be 35. How old is each now
Let Ann's age be A

Then Melissa's is: A - 5

We then get the following SUM-OF-AGES equation: A + 6 + A - 5 + 6 = 35

2A + 7 = 35

2A = 28

A, or Ann is: highlight_green%28matrix%281%2C2%2C+14%2C+years-old%29%29

Melissa is: highlight_green%28matrix%281%2C4%2C+%2214+-+5%2C%22%2C+or%2C+9%2C+years-old%29%29