SOLUTION: The sum of two numbers is 80. If the larger is divided by the smaller, the quotient is 7, and the remainder is 8. Find the numbers.

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Question 276295: The sum of two numbers is 80. If the larger is divided by the smaller, the quotient is 7, and the remainder is 8. Find the numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 80.
x + y = 80
y = (80-x)
:
If the larger is divided by the smaller, the quotient is 7, and the remainder is 8
%28x-8%29%2Fy = 7
7y = x - 8
replace y with (80-x)
7(80-x) = x - 8
:
560 - 7x = x - 8
:
560 + 8 = x + 7x
:
568 = 8x
x = 568%2F8
x = 71
then
y = 9, obviously
:
:
divide 71 by 9: 7 remainder 8
x = 71