SOLUTION: The sum of two positive integers is 1287. If the larger number is 9 and a half more than 2 and a half times the smaller number, then what are the two numbers?
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Question 811487: The sum of two positive integers is 1287. If the larger number is 9 and a half more than 2 and a half times the smaller number, then what are the two numbers? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of two positive integers is 1287. If the larger number is 9 and a half more than 2 and a half times the smaller number, then what are the two numbers?
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Equations:
a + b = 1287
a = (5/2)b+(19/2)
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Substitute for "a" and solve for "b":
(5/2)b +(19/2) + b = 1287
(7/2)b = 1287-(19/2)
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7b = 2574 - 19
7b = 2555
b = 365
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Solve for "a":
a = 1287-365 = 922
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Cheers,
Stan H.
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