Math, asked by brainly73, 1 year ago

. Please answer the question

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Answered by abhi569
5
let the numbers are 2x,3x and 4x 

sum of squares = 4x^2 +9x^2 + 16x^2

725 = 29x^2

725/29 = x^2 

25 = x^2

root 25 =x

5 =x

then the numbers are 

2*5=10

3*5=15

4*5 =20

numbers are 10, 15 and 20



Answered by Anonymous
1
hiii frnd!!

here's ur answer...

let three numbers be 2x, 3x and 4x.

therefore (2x)² + (3x)² + (4x²) = 725

=> 4x² + 9x² + 16x² = 725

=> 29x² = 725

=> x² = 725/29

=> x² = 25

=> x = √25

=> x = 5

therefore the numbers are :-

→ 2x
= 2 × 5
= 10

→ 3x
= 3 × 5
= 15

→ 4x
= 4 × 5
= 20

VERIFICATION:-

= (10)² + (15)² + (20)²

= 100 + 225 + 400

= 725

hence verified

hope this helps..!

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