Posted by Dee on Monday, October 29, 2012 at 3:32pm.
Find two numbers whose ratio is 4 to 3 and are such that the sum of their squares is 100.

Math  Ms. Sue, Monday, October 29, 2012 at 3:36pm
8 to 6

Math  Steve, Monday, October 29, 2012 at 3:38pm
let the numbers be 4x and 3x.
(4x)^2 + (3x)^2 = 100
16x^2 + 9x^2 = 100
25x^2 = 100
x^2 = 4
x = 2
So, the numbers are 6 and 8.
Check: 6^2 + 8^2 = 36+64 = 100
Or, you could have thought first of the ubiquitous 345 triangle.