Multiple choice

The LCM and HCF of two positive numbers is 150 and 25 respectively. If one of the numbers is 50, what is the other?

  1. 100

  2. 80

  3. 75

  4. 60
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C Correct answer
Explanation

The product of two numbers is equal to the product of their HCF and LCM. Given HCF = 25, LCM = 150, and one number = 50, the other number is (25 * 150) / 50 = 75.

AI explanation

Using the identity that the product of two numbers equals the product of their LCM and HCF, we calculate the unknown number. We multiply the LCM of 150 by the HCF of 25 to get 3750, and then divide by the known number 50. The calculation 3750 divided by 50 gives the result. The other number is 75.

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