Question

the HCF of 144 and 180 is expressed in the Form 13 M - 3 find the value of m​

Answer 1

Step-by-step explanation:

HCF of 144 and 180 is 36 so

13 M-3= 36

13M=39 hence M=3

Answer 2

Given

HCF of 144 and 180 is expressed in the form 13 m - 3

$144 = 2 * 2 * 2 * 2 * 3 * 3$

$180 = 2 * 2 * 5 * 3 * 3$

$\implies \bold{HCF} = 2 * 2 * 3 * 3 = 36$

$\implies 13 m - 3 = 36\\\implies 13 m = 36 + 3\\\implies 13 m = 39\\\\\implies m = \dfrac{39}{13} \\\\\implies m = 3$

VERIFY

13 m - 3

= 13 (3) - 3

= 39 - 3

= 36

= HCF

Hence verified !

$\boxed{\boxed{\bold{Therefore, \ the \ value \ of \ m \ is \ 3}}}}$