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Rajan@2021
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The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the others.

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An important and conceptual question from real numbers chapter in which we have given a number 161 and we have been asked to find the other number if their HCF is 23 and their LCM is 1449.

Kindly provide me a detailed solution of this question

RS Aggarwal, Class 10, chapter 1B, question 3

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1 Answer

  1. Given, HCF=23

    LCM=1449

    Let the two numbers be a and b. Let a=161. We have to find b.

    We know that

    HCF(a,b)×LCM(a,b)=a×b

    23×1449=161×b

    23×1449​/161=b

    b=23×9

    b=207

    Thus, the other number is 207.

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