| HCF and Lcm of two numbers are 27 and 162 respectively. if one of number is 54then the other number is​

| HCF and Lcm of two numbers are 27 and 162 respectively. if one of number is 54then the other number is​

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2 thoughts on “| HCF and Lcm of two numbers are 27 and 162 respectively. if one of number is 54then the other number is​”

  1. Given :-

    HCF = 27

    LCM = 162

    One number = 54

    To Find :-

    Other number

    Solution :-

    We know that

    [tex]\sf HCF \times LCM = a \times b[/tex]

    [tex]\sf 27\times162=54\times b[/tex]

    [tex]\sf\dfrac{27\times162}{54}=b[/tex]

    [tex]\sf \dfrac{1\times 162}{2}=b[/tex]

    [tex]\sf 81=b[/tex]

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  2. Answer:

    Step-by-step explanation:

    Given,

    HCF of the two numbers = 27

    LCM of the two numbers = 162

    One number = 54

    To Find,

    Another number.

    Formula to be used,

    HCF × LCM = Product of the two numbers.

    Solution,

    let the other number be x.

    We know that,

    HCF × LCM = Product of the two numbers.

    Putting all the values, we get

    ⇒ 27 × 162 = 54 × x

    ⇒ x = 27 × 162/54

    ⇒ x = 4374/54

    x = 81

    Hence, the other number is 81.

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