Question

If a= 2x+3 and b= x+7 , where n is some integer then HCF of a and b is​

Answer 1

Answer:

Given A = 2n + 13 and B = n + 7 and since n is a natural number A > B.

A = 2(n + 7) - 1

A = 2B - 1

On dividing throughout with B,

A/B = 2 - (1/B)

B is always an integer => 1/B can never be an integer => A/B also can't be an integer

Since A/B is not an integer we can conclude that A and B cannot have any integer in common. Therefore HCF of A and B is 1.

Answer 2

given a= 2n+13 and b=n+7 and since n is a natural number a b. since a/ b is not an interger we can conclude that a and b cannot have any interger in common .

Step-by-step explanation:

therefore hcf of a and b is1