The sum of two numbers is 32 and their HCF is 4. How many pairs of such numbers are possible ?

1 2 3 0

2

Let, the numbers are 4x and 4y ATQ, ⇒ 4x + 4y = 32 ⇒ 4(x + y) = 32 ⇒ x + y = 8 ⇒ (1, 7) ⇒ (3, 5) We can see the 2 possible pairs.