2024 · Q28
The sum of two positive numbers is 40. If the GM of these two numbers is lower than their AM by 20%, then what is the difference between the two numbers ?
Elementary MathematicsNumber System
- A12
- B18
- C24
- D28
Explanation
a + b = 40 and √ab = 0.8 × 20 = 16 give ab = 256. Then (a − b)² = 1600 − 1024 = 576. Taking the root gives |a − b| = 24, option (c).