SOLUTION: Alan is 7 years older than Nicole. In 5 years the sum of their ages will be 49. How old is Alan now?

Question 1024429: Alan is 7 years older than Nicole. In 5 years the sum of their ages will be 49. How old is Alan now?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Alan is 7 years older than Nicole. In 5 years the sum of their ages will be 49. How old is Alan now?
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Equations:
a = n + 7
a+5 + n + 5 = 49
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Substitute for "a" and solve for "n"::
n + 12 + n + 5 = 49
2n + 17 = 49
2n = 32
n = 16
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a = n+7 = 16+7 = 23
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cheers,
Stan H.
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