Question

find three positive number in the ratio 2:3:5 the sum of whose squares is 950

Answer 1

let numbers are,

2x ,3x  and 5x

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according to the question,

(2x)² + (3x)² + (5x)² = 950

4x² + 9x² + 25x² = 950

38x² = 950

x² = 25 

x = 5



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Now,

Required numbers are,

2x = 2(5) = 10 

3x = 3(5) = 15 

5x = 5(5) = 25 



i hope this will help you


(-: 

Answer 2

Heya ✋

Let see your answer !!!!

Let the positive numbers be 2x , 3x and 5x. Then,

according to question ,

$(2x) ^{2} + (3x) ^{2} + (5x) ^{2} = 950 \\ = > 4x ^{2} + 9x ^{2} + 25x ^{2} = 950 \\ = > 38x^{2} = 950 \\ = > x ^{2} = 950 \div 38 \\ = > x ^{2} = 25 \\ = > x = \sqrt{25} \\ = > x = 5$
Hence ,

1st positive number = 2 × 5 = 10

2nd positive number = 3 × 5 = 15

3rd positive number = 5 × 5 = 25






Thanks :))))