The HCF of two numbers is 11 and their sum is 132. If both the numbers are greater than 42, then the difference between the two numbers is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 22.
Since HCF is 11, let the numbers be 11x and 11y.
11x + 11y = 132
x + y = 12
co-prime pairs for 12 :
(5, 7) ,11 × 5 = 55 and 11 × 7 = 77 Both > 42
Difference = 77−55 = 22