Math, asked by dschouhan55191, 9 months ago

Find three positive numbers which are in the ratio 2:3:5, the sum of whose square is 950

Answers

Answered by Anonymous
2

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Hello Friends...

Here is ur answer :

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

{x}^{2} = \frac{950}{38}x

2

=

38

950

{x}^{2} = 25x

2

=25

x = \sqrt{25}x=

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...

Step-by-step explanation:

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