Multiple choice

The HCF and the LCM of two numbers are 11 and 825, respectively. If one number is 275, find the other number.

  1. 53

  2. 45

  3. 33

  4. 43

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. Therefore, 275 * x = 11 * 825. Solving for x gives x = (11 * 825) / 275 = 33.

AI explanation

Use the identity that the product of two numbers equals the product of their HCF and LCM. We set up the equation 11 times 825 = 275 times the unknown number. Multiplying gives 9075 = 275 times the unknown number. Dividing 9075 by 275 gives the other number as 33.