Question

The sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean. Find the numbers.

• A. 11, 4
• B. 12, 3
• C. 13, 2
• D. 10, 5

Answer 1

The correct option is B 12, 3

Going through options only 12 and 3 satisfies the condition

$AM=\frac{12+3}{2}=7.5$

$GM=\sqrt{12\times 3}=6$
which is 20% less than 7.5