Multiple choice

The $LCM$ and $HCF$ of $2$ numbers are $120$ and $6$ respectively. If one of the numbers is $30$, find the other.

  1. $27$
  2. $33$
  3. $24$
  4. $18$
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C Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. 30 * x = 120 * 6. x = 720 / 30 = 24.

AI explanation

For any two numbers, the product of the numbers equals the product of their LCM and HCF. Let the other number be y, so 30 times y equals 120 times 6. This gives 30y = 720, meaning y = 24.

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