SOLUTION: Paul is 7 years older than his brother. The product of their ages is 30. How old is Paul?

Question 687506: Paul is 7 years older than his brother. The product of their ages is 30. How old is Paul?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Paul is 7 years older than his brother. The product of their ages is 30. How old is Paul?
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Equations:'
p = b + 7
p*b = 30
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Substitute for "p" and solve for "b":
(b+7)b = 30
b^2 + 7b = 30
b^2 + 7b - 30 = 0
Factor:
b^2 + 10b-3b - 30 = 0
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b(b+10) -3(b+10) = 0
(b+10)(b-3) = 0
Positive solution:
b = 3 yrs. (brother's age)
p = b+7 = 10 yrs (Paul's age)
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Cheers,
Stan H.
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