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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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    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?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.

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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

    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

    ( 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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    The LCM of two numbers is 90 times their HCF. The sum of LCM and HCF is 1456. If one of the numbers is 160, then what is the other number?

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    The LCM of two numbers is 90 times their HCF. The sum of LCM and HCF is 1456. If one of the numbers is 160, then what is the other number?

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