If the arithmetic mean of two numbers is 25, and the geometric mean is seven, what are the values of the two numbers? *
The arithmetic mean is the average of two numbers. (x + y) ÷ 2 = 25 Solve Multiply both sides by 2 x + y = 50 To calculate the geometric mean of two numbers, multiply the numbers together and take the square root. √xy = 7 Solve Square both sides xy = 49 Answer: the numbers are 1 and 49. Check: 1 + 49 = 50 *I had the assistance of Quora contributor Elaine Dawe, BMath, Mathematics and Computer Science, University of Waterloo 1985.
0 Comments
Leave a Reply. |
Categories
All
Archives
April 2024
|