CA Foundation P3 · Chapter 6 · Question 8 of 9
The arithmetic mean and geometric mean of two positive numbers are 25 and 15 respectively. The numbers are:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 45 and 5
Explanation
Sum = 2 x 25 = 50 and product = 15² = 225. The numbers are roots of x² − 50x + 225 = 0, i.e. (x − 45)(x − 5) = 0, so 45 and 5. 40 and 10 have AM 25 but GM 20.