SOLUTION: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two

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Question 314719: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Three times a larger number added to 4 times a smaller number totals 24.
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3L + 4S = 24
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When twice the smaller number is subtracted from twice the larger number, the result is 2.
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2L - 2S = 2
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What are the two numbers?
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Rearrange:
L - S = 1
3L + 4S = 24
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Substitute for "L" and solve for "S":
3(S+1)+4S = 24
7S + 3 = 24
S = 3 (smaller number)
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Since L = S+1, L = 4 (larger number)
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Cheers,
Stan H.
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