SOLUTION: 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?

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
:
"whose sum is 88,"
x + y = 88
y = (88-x)
:
"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
:
What are the numbers? 75 and 13
:
:
See if that is true: 75/13 = 5, with a remainder o 10
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