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Question
The HCF of two numbers is 27 and their LCM is 162. If one of the number is 81, find the other.
Numerical
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Solution
Given: HCF = 27, LCM = 162, one number = 81.
Step-wise calculation:
1. Let the other number be x.
2. Then 81 × x = 27 × 162.
3. Compute 27 × 162 = 27 × (160 + 2)
= 4320 + 54
= 4374
4. So 81x = 4374
⇒ x = 4374 ÷ 81
= 54
The other number is 54.
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