SOLUTION: The sum of the ages of two brothers is 46. The younger brother is 10 more than a third of the older brothers age. How old is the younger brother?

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Question 1033313: The sum of the ages of two brothers is 46. The younger brother is 10 more than a third of the older brothers age. How old is the younger brother?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the ages of two brothers is 46. The younger brother is 10 more than a third of the older brothers age. How old is the younger brother?
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a + b = 46
a = (1/3)b +10
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Substitute for "a" and solve for "b"::
(1/3)b + 10 + b = 46
(4/3)b = 36
b = 3*9 = 27 yrs
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a = 46-b = 46-27 = 19 yrs
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Cheers,
Stan H.
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