6. the hcf of two numbers is 27 and their lcm is 162. if one of the number is 81, find the other.

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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 othe number ? a 36 b 45 e 9 f 81

Solution

Answer :

(d) 81 Let the two numbers be x and y. It is given that: x = 54 ​HCF = 27 LCM = 162 We know, x × y = HCF × LCM

⇒ 54 × y = 27 × 162

⇒ 54y = 4374
⇒ y = $\frac{4374}{54}$= 81

Mathematics

Secondary School Mathematics X

Standard X