PYQ · UPSC Combined Defence Services 2024 · Elementary Mathematics · Q28 Difficulty 2/5
Arithmetic & Commercial Maths› Averages
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 ?
Answer c.
Explanation Answer · c
AM 20 and GM 16 give a difference of 24. AM=40/2=20 and GM=0.8×20=16, so xy=256. Then (x−y)²=(x+y)²−4xy=1600−1024=576. The positive difference is 24.
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