Question 237449: The sum of two numbers is 12. Three times the larger is 6 more than 7 times the smaller. Find the two numbers. Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of two numbers is 12. Three times the larger is 6 more than 7 times the smaller. Find the two numbers.
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Equations:
x + y = 12
3x = 7y + 6
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Multiply 1st by 3 and Rearrange both equations:
3x + 3y = 36
3x - 7y = 6
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Subtract the 2nd from the 1st and solve for "y":
10y = 30
y = 3
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Substitute into x+y = 12 to solve for "x":
x + 3 = 12
x = 9
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Cheers,
Stan H.
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