Question

The sum of the two numbers is 30 and the HCF is 5. How many pairs of such numbers can be formed ?​

Answer 1

Step-by-step explanation:

Step 1:

Let the number be X & Y

Hcf is 6

Step 2:

As per given data

6 x+6y=30

6 (x + y) = 30 x +y = 30/6

X + y = 15/3

X+Y=5

X & Y should be coprime to each other

Possible pairs are

(12, 18), (6,24).