Multiple choice

If the LCM of two numbers is 180 and their HCF is 15, and one of the numbers is 45, find the other.

  1. 60

  2. 75

  3. 90

  4. 135
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A Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. Therefore, 45 * x = 180 * 15. Solving for x gives x = (180 * 15) / 45 = 60.

AI explanation

Using the formula that the product of two numbers equals the product of their LCM and HCF, we can write (First number) multiplied by (Second number) equals 180 multiplied by 15. Substituting the known value gives 45 multiplied by the second number equals 2700. Dividing 2700 by 45 yields the other number. The other number is 60.

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