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| Question 475421:  If the larger of two integers, whose sum is 88, is divided by the smaller, the quotient is 5 and the remainder is 10.  What are the numbers?
 Answer by ankor@dixie-net.com(22740)
      (Show Source): 
You can put this solution on YOUR website! If the larger of two integers, whose sum is 88, is divided by the smaller, the quotient is 5 and the remainder is 10. What are the numbers? :
 Two integers, x and y
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 "whose sum is 88,"
 x + y = 88
 y = (88-x)
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 "the larger of two integers is divided by the smaller, the quotient is 5 and the remainder is 10."
 
  = 5 x - 10 = 5y
 Replace y with (88-x)
 x - 10 = 5(88 - x)
 x - 10 = 440 - 5x
 x + 5x = 440 + 10
 6x = 450
 x =
  x = 75
 then
 y = 88 - 75
 y = 13
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 What are the numbers? 75 and 13
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 See if that is true: 75/13 = 5, with a remainder o 10
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