Question

The sum of the squares of three numbers which are in the ratio 3:4:5 is 1800. Find the number

Answer 1

Step-by-step explanation:

let the squares be 3x^2,4x^2,5x^2

3x^2+4x^2+5x^2= 1800

12x^2= 1800

x^2= 1800/12

x^2= 150

x = root 150 = 5 root 6

3x = 3 × 5 root 6

= 15 root 6

4x = 20 root 6

5x = 24 root 6

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Answer 2

Answer:

let the numbers will be 3x, 4x,5x

A. T. Q.

$({3x)}^{2} + ( {4x})^{2} + {(5x)}^{2} = 1800$

$9 {x}^{2} + 16 {x}^{2} + 25 {x}^{2} = 1800$

$50 {x}^{2} = 1800$

${x}^{2} = \frac{1800}{50}$

${x }^{2} = 36$

$x = 6$

Hence, the numbers are 18,24,30