SOLUTION: The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?

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Question 175940This question is from textbook
: The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers? This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?
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x - y = 18
2y+3x = 74
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Rearrange:
3x - 3y = 54
3x + 2y = 74
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Subtract 1st from 2nd to get:
5y = 20
y = 4
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Substitute to solve for "x":
x - 4 = 18
x = 22
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Cheers,
Stan H.