Question

The sum of two numbers is 30 and their hcf is 6 . how many such pairs are possible ? (Hint : 6a+6b = 30 = a+b = 5)

Answer 1

Answer:

Step-by-step explanation:bsnd

Answer 2

Answer:

2 pairs are possible

Step-by-step explanation:

Step 1:

Let the number be X & Y  

Hcf is 6

Step 2:

As per given data

6 x + 6 y =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).

HCF of 12 , 18 , 6 and 24 are 6 and their sum is 30.