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

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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