Question

If HCF = (65, 117) = 65m- 117 then m is-

(a) 2

(b) -2

(c) 1

(d) 3​

Answer 1

$\bold{\large{\red{\tt{ANSWER}}}}$

First we need to find the HCF of 65 and 117..

65 = 5 × 13

117 = 3 × 3 × 13

HCF ( 65 and 117 ) = 13

But we know HCF of 65 and 117 = 65m - 117

So ,

$65m - 117 = 13$

$- > 65m = 13 + 117$

$- > 65m = 130$

$- > m = \frac{130}{65}$

$- > m = a) \: 2$

$\bold{\large{\purple{\sf{i \: hope \: it \: helps \: u \: }}}}$