SOLUTION: The larger of two numbers is 9 more than 3 times the smaller. If 2 times the larger is taken from 9 times the smaller, the result is 15. Find both numbers

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Question 836818: The larger of two numbers is 9 more than 3 times the smaller. If 2 times the larger is taken from 9 times the smaller, the result is 15. Find both numbers
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The larger of two numbers is 9 more than 3 times the smaller. If 2 times the larger is taken from 9 times the smaller, the result is 15. Find both numbers
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Equations:
L = 3*S + 9
9S - 2L = 15
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Substitute for "L" and solve for "S"::
9S - 2(3S+9) = 15
9S - 6S - 18 = 15
3S = 33
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Smaller = 11
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Larger = 3*S+9 = 33+9 = 42
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Cheers,
Stan H.
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