SOLUTION: The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers.

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Question 490125: The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers.
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Equations:
x + y = 2x-4
x -3y = -20
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Rearrange:
x - y = 4
x -3y =-20
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Subtract and solve for "y":
2y = 24
y = 12
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Solve for "x":
x - y = 4
x -12 = 4
x = 16
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Cheers,
Stan H.