SOLUTION: Jack is 5 years older than his sister Mary. The sum of their ages is 37. How old is Jack. Show your work.

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Question 371633: Jack is 5 years older than his sister Mary. The sum of their ages is 37. How old is Jack. Show your work.
Found 2 solutions by rfer, stanbon:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+5=37
2x=32
x=16 Mary
x+5=21 Jack

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jack is 5 years older than his sister Mary. The sum of their ages is 37. How old is Jack. Show your work.
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Equations:
j = m+5
j+m = 37
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Substitute for "j" and solve for "m":
m+5 + m = 37
2m = 32
m = 16 (Mary's age now)
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Since j = m+5, j = 21 (Jack's age now)
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Cheers,
Stan H.