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Question 125600: If the larger of two numbers is divided by 6 and is subtracted from three times the smaller one, the result is 44. If the smaller nunber is increased by 4, the result is half the larger numbers.Find the numbers.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If the larger of two numbers is divided by 6 and is subtracted from three times the smaller one, the result is 44. If the smaller nunber is increased by 4, the result is half the larger numbers.Find the numbers.
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Larger: x
Smaller:y
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EQUATIONS:
3y-(x/6) = 44
y+4 = (1/2)x
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Rearrange:
18y-x = 264
2y+8 = x
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Substitute to solve for "y":
18y-(2y+8) = 264
16y = 272
y = 17
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Substitute to solve for "x":
x = 2*17+8
x = 42
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Cheers,
Stan H.
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