If the HCF of 51 and 85 is expressed in the form of 51m – 85, then the value of m will be:

Correct option is D

Given:

Two numbers: 51 and 85 HCF of 51 and 85 is expressed in the form 51m−85.

Solution:

​$$51 = 3 ×17$$​​

​​$$85 = 5\times 17$$

So, HCF of 51 and 85 is 17.

According to question,

17 = 51m−85

51m = 17 + 85

51m = 102

m =$$\frac{102}{51}$$ = 2​