Question

The H.C.F of two no. is 27 and their L.C.M is 162.if one of the no is 54. find the other?

Answer 1

AnswEr:

Other Number is 81

Step by Step Explanation:-

Let us Consider that the other number be x.

$\dag\:\large\bold{\underline{\sf{\red{\:\:Given:-\:\:}}}}$

• HCF of two numbers= 27
• LCM of two numbers = 162

We know that,

$:\implies\small{\underline{\boxed{\sf{\red{HCF \times \: LCM \:=\: Product\: of \: Two\: Numbers}}}}}$

$:\implies\sf\: HCF = 27$

$:\implies\sf\: LCM = 162$

Now,

$:\implies\sf\: 27 \times \: 162 \:=\: 54 \; \times\: x$

$:\implies\sf\: 4374 = 54x$

$:\implies\sf\: x = \cancel\dfrac{4374}{ 54}$

$:\implies\large\boxed{\sf{\pink{x\:=\: 81}}}$

$\dag\:\:\small\bold{\underline{\sf{\red{Hence,\; Other\: Number\:is\:81.}}}}$

$\rule{150}2$

Answer 2

$\mathfrak{\huge{\red</h2><h2>{ANSWER}}}$