Question

Find the value of m if hcf of 65 and 117 is expressible in the form 65m - 117

Answer 1

Answer:

m value is 2

it is as

65 m =65(2)

Answer 2

Let us find the HCF of 65 and 117, 117 = 1×65 + 52 65 = 1× 52 + 13 52 = 4 ×13 + 0 Hence, we get the HCF of 65 and 117 = 13. According to the question, 65m – 117 = 13 65m = 117+13 = 130 ∴ m =130/65 = 2 Hence, option (B) is the correct answer.