Multiple choice

The HCF and LCM of two numbers is $16$ and $192$ respectively. If one of the numbers is $64$, the other one is

  1. $48$
  2. $24$
  3. $72$

  4. None
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A Correct answer
Explanation

Product of two numbers = HCF * LCM. 64 * x = 16 * 192. x = (16 * 192) / 64 = 192 / 4 = 48.

AI explanation

Use the relationship between two numbers and their HCF and LCM, which states that the product of the two numbers equals the product of their HCF and LCM. Let the other number be x, giving the equation 64 * x = 16 * 192. Solving for x gives x = 3072 / 64, so the other number is 48.

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