Question

| HCF and Lcm of two numbers are 27 and 162 respectively. if one of number is 54then the other number is​

Answer 1

Answer:

Step-by-step explanation:

Given,

HCF of the two numbers = 27

LCM of the two numbers = 162

One number = 54

To Find,

Another number.

Formula to be used,

HCF × LCM = Product of the two numbers.

Solution,

let the other number be x.

We know that,

HCF × LCM = Product of the two numbers.

Putting all the values, we get

⇒ 27 × 162 = 54 × x

⇒ x = 27 × 162/54

⇒ x = 4374/54

⇒ x = 81

Hence, the other number is 81.

Answer 2

Given :-

HCF = 27

LCM = 162

One number = 54

To Find :-

Other number

Solution :-

We know that

$\sf HCF \times LCM = a \times b$

$\sf 27\times162=54\times b$

$\sf\dfrac{27\times162}{54}=b$

$\sf \dfrac{1\times 162}{2}=b$

$\sf 81=b$