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# the hcf of two numbers is 27 and their lcm is 162. if one of the numbers is 54, what is the other number?

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### Mohammed

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## The HCF of two numbers is 27 and their LCM is 162 . If one of the numbers is 54 , what is the other number?

The HCF of two numbers is 27 and their LCM is 162 . If one of the numbers is 54 , what is the other number? Method of Finding HCF

The HCF of tw... Question

The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, what is the other number?

A 36 B 45 C 9 D 81 Open in App Solution

The correct option is D 81

Let the two numbers be x and y.

It is given that: x = 54 H C F = 27 L C M = 162 We know that, x × y = H C F × L C M ⇒ 54 × y = 27 × 162 ⇒ 54 y = 4374 ⇒ y = 4374 54 = 81 Suggest Corrections 21 SIMILAR QUESTIONS

Q. The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, what is the other number?Q. The sum of two numbers

a and b

is 135 and their HCF is 27. If their LCM is 162, find

a 2 + b 2 .

Q. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then the other number is

स्रोत : byjus.com

## The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, find the other.

Click here👆to get an answer to your question ✍️ The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, find the other. Question

## The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, find the other.

For two numbers a and b, we know that

Easy Open in App Solution Verified by Toppr

(a×b)=HCFof(a,b)×LCMof(a,b)

Here, a=54,HCF=27,LCM=162 Therefore, (54×b)=(27×162) b= 54 27×162 ​ =81

Hence, the other number is 81.

621 61

स्रोत : www.toppr.com

## The HCF of two numbers is 27 and their LCM is 162. If one of numbers is 54, what is the other number ?

other number = ( HCF xx LCM)/("given number") = (27xx 162)/54 = 81 Home > English > Class 10 > Maths > Chapter > Real Numbers >

The HCF of two numbers is 27 a...

The HCF of two numbers is 27 and their LCM is 162. If one of numbers is 54, what is the other number ?

Updated On: 27-06-2022

Solution

other number = ` ( HCF xx LCM)/("given number") = (27xx 162)/54 = 81` Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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