Question

Find three positive in the ratio 2:3:5 the sum of whose squares is 950​

Answer 1

Answer:

10,15,25

Given: Sum of ratio = 950

To Find : Sum

Let the number be 2x, 3x and 5x

The sum of the squares of these numbers is 950.

According to question,

(2x)² + (3x)² + (5x)² = 950

4x² + 9x² + 25x² = 950

38x² = 950

$</p><p>{x}^{2} = \frac{950}{38}x </p><p>2</p><p> = </p><p>38 \\ </p><p>950</p><p> </p><p> </p><p></p><p>{x}^{2} = 25x </p><p>2</p><p> =25 </p><p> \\ </p><p>x = \sqrt{25}x= </p><p>25$

x = 5x=5

Numbers are :

2x = 2 × 5 = 10

3x = 3 × 5 = 15

5x = 5 × 5 = 25

The three positive numbers are 10, 15 and 25.

HOPE IT HELPS YOU...