Question

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

Answer 1

Let the two positive numbers be x, (x – 36) say. If one number is divided by second then the quotient is 4. 

∴ \(\frac x {x\,-\,36}\) = 4 

⇒ x = 4(x – 36) = 4x – 144 

⇒ 4x – x = 144 

3x = 144 

x = 48 

∴ x – 36 = 48 – 36 = 12 

∴ The required two positive integers are 48, 12.