Question

1. The HCF of two number is 27 and their
LCM is 162. If one of the number is
54. then find the other number.​

Answer 1

Answer:

81

Step-by-step explanation:

1st number × 2nd number = HCF × LCM

54 × 2nd number = 27 × 162

2nd number = 27 × 162 / 54

=> 2nd number= 81

Answer 2

Answer : 81

$\rule{100}2$

Step - by - step  Explanation :

We know that,

$\sf LCM\times HCF = Product\:of\:two\:numbers$

Now,

Substitute the given values in the given formula, in  order to find the unknown number.

We get,

$\sf 162\times 27 = 54\times second\:number$

$\sf\implies Second\:number= \dfrac{162\times 27}{54}$

$\sf\therefore Second\:number =81$

Hence,

The other number is 81.

$\rule{100}2$

Verification :

27 × 162 = 54 × 81

⇒ 4374 = 4374

∴ LHS = RHS

Hence verified!

$\rule{200}2$