SOLUTION: the sum of the ages of two persons A and B is 50. 5 years ago,the ratio of their ages was 5/3. the present age of A and B are

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Question 697872: the sum of the ages of two persons A and B is 50. 5 years ago,the ratio of their ages was 5/3. the present age of A and B are
Answer by stanbon(75887) About Me  (Show Source):
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the sum of the ages of two persons A and B is 50. 5 years ago,the ratio of their ages was 5/3. the present age of A and B are
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Equations:
a + b = 50
(a-5)/(b-5) = 5/3
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Substitute for "a" and solve for "b":
a = 50-b
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(50-b-5)/(b-5) = 5/3
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3(45-b) = 5(b-5)
135 - 3b = 5b - 25
8b = 160
b = 20
Then a = 30
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Cheers,
Stan H.