Question

the difference between two positive integers is 36.the quotient when one integer is divided by other is 4. find the integer

Answer 1

x > 0, y > 0
x - y = 36
x / y = 4

x = y + 36
(y + 36) / y = 4
y + 36 = 4y
3y = 36
y = 12

x = y + 36 = 12 + 36 = 48

Checking:
x - y = 48 - 12 = 36
x / y = 48 / 12 = 4

Answer 2

x-y = 36

x/y = 4 ⇒ x = 4y 

4y - y = 36
3y = 36
y = 12
x = 48