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) (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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