The sum of two positive numbers is 384 and their HCF is 24. How many pairs of such numbers can be formed?

Show answer & explanation

Answer: (D) 4

Explanation

Write the numbers as 24a and 24b with a, b co-prime: a + b = 384/24 = 16. Co-prime pairs: (1, 15), (3, 13), (5, 11), (7, 9) – 4 pairs.