SOLUTION: One number is 6 less than another. Three times the smaller is 12 more than twice the larger. Find the numbers. Thanks

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Question 249095: One number is 6 less than another. Three times the smaller is 12 more than twice the larger. Find the numbers.

Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 6 less than another. Three times the smaller is 12 more than twice the larger. Find the numbers.
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Let the larger number be "x":
Equations:
y = x-6
3y = 2x+12
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Substitute for "y" and solve for "x":
3(x-6) = 2x+12
3x-18 = 2x+12
x = 30 (larger number)
y = x-6 = 24 (smaller number)
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Cheers,
Stan H.