If the larger(x) of two integers(x and y) whose sum is 85,
x+y=85 or x=85-y
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=85-y
(85-y)
-------- = 7+5/y
y
*to remove the denominators(y), multiply (y) on both sides
(85-y)
-------- (y) = 7(y)+5/y (y)
y
85-y=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=85-10
x=75
What are the two numbers?
x=75 & y=10