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.

## Answer this Question

## Related Questions

- Math - Minimizing Sum: Find two positive numbers whose sum is 100 and the sum of...
- math - Find two positive numbers whose sum is 50 such that the sum of their ...
- arithmetic - 1. The first and last term of an A.P are, a and l respectively, ...
- arithmetic - 1. The first and last term of an A.P are, a and l respectively, ...
- Math - Find two numbers whose difference is 16, and the sum of whose squares a ...
- math - Two non-negative numbers are chosen such that their sum is 30. Find the ...
- Calculus - Find two numbers whose sum is 10 for which the sum of their squares ...
- Discrete mathematics - I need help solving this problem, I have followed the ...
- maths - Find the two numbers whose differences is 8 and the sum of their ...
- calculus - Find two positive numbers whose product is 100 and whose sum is a ...