Question

If hcf of 65 and 117 is expressible in the form 65n -117 find n

Answer 1

By using prime factorization

65= 5×13

117=3×3×13

=>HCF(65,117)=13

now according to the question

65n-117= 13

=> 65n-117+117= 13+117

=> 65n=130

=> 65n/65=130/65

=> n= 2.

That's your answer.

I hope you will get it.