Question : The HCF and LCM of the two numbers are 126 and 9 respectively. If one of the numbers is 18, then what is the other number?
Option 1: 63
Option 2: 36
Option 3: 84
Option 4: 24
Correct Answer: 63
Solution :
The product of two numbers is equal to the product of their HCF (Highest Common Factor) and LCM (Least Common Multiple).
Let the two numbers as a and b, with a = 18 (given). The HCF is 126 and the LCM is 9.
⇒ a × b = HCF × LCM
⇒ 18 × b = 126 × 9
⇒ b = 63
Hence, the correct answer is 63.
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