# 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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## 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?

Byju's Answer Standard X Mathematics

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?

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## 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 thatEasy 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.

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## 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

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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

( 00 : 010 ) ADVERTISEMENT Text Solution Open Answer in App A 36 B 45 C 9 D 81 Answer

The correct Answer is D

Solution

other number = ` ( HCF xx LCM)/("given number") = (27xx 162)/54 = 81`

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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Guys, does anyone know the answer?