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 3-4-5 triangle.

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