SOLUTION: twice the larger of two numbers is three more than five times the smaller and the sum of four times the larger and three times the smaller is 71.What are the numbers?
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Question 116921: twice the larger of two numbers is three more than five times the smaller and the sum of four times the larger and three times the smaller is 71.What are the numbers? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! twice the larger of two numbers is three more than five times the smaller
EQUATION:
Let "x" be the larger and "y" the smaller number:
2x = 5y+3
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the sum of four times the larger and three times the smaller is 71.What are the numbers?
EQUATION:
5x+3y = 71
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Rearrange:
2x-5y = 3
5x+3y = 71
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Multiply 1st equation by 5 and 2nd equation by 2 to get:
10x-25y = 15
10x+6y = 142
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Subtract 1st from 2nd to solve for "y:
31y = 127
y = 127/31 =4.09
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Substitute into 2x-5y = 3 to solve for "x"
2x-5(127/31) = 3
2x-635/31 = 3
2x = 728/31
x = 364/31 =11.74
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Cheers,
Stan H.
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