SOLUTION: if the larger of two numbers whose sum is 100, is divided by the smaller number, the quotient is 4 and the remainder is 15. what are the numbers?

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Question 213078: if the larger of two numbers whose sum is 100, is divided by the smaller number, the quotient is 4 and the remainder is 15. what are the numbers?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
X +y =100,,,,,or y=100-X
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X/y = 4 + 15/y,,,,,,,cross multiply
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X= 4y +15,,,,,,,substitute
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X= 4(100-X) +15
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X= 400-4X +15
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5X =415
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X=83,,,,,,,,y=100-X=100-83 = 17
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check,,,, 83+17 =100,,,,ok
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83/17 = 4 15/17,,,,,,,ok
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