If the larger(x) of two integers(x and y) whose sum is 85,
x+y=85 or x=85y
is divided by the smaller(y),
*the larger(x) divided by the smaller(y)
x

y
the quotients is 7 and the remainder is 5.
x
 = 7+5/y
y
*substitute x=85y
(85y)
 = 7+5/y
y
*to remove the denominators(y), multiply (y) on both sides
(85y)
 (y) = 7(y)+5/y (y)
y
85y=7y+5
5+85=7y+y
80=8y

8
y=10
*now that you have (y=10) substitute (y) to the first equation,
x+y=85
x+(10)=85
x=8510
x=75
What are the two numbers?
x=75 & y=10