Question

The sum of the squares of three numbers which are in the ratio 2:3:4 is 725.Find the numbers

Answer 1

Let 2x^2, 3x^2, 4x^2
Sum= 725
4x^2+9x^2+16x^2=725
29x^2=725
x^2=725/29
=25
x=5
2:3:4 = 10, 15, 20

Answer 2

[(2x)^2 ]+[(3x)^2]+[(4x)^2]=725
${4x}^{2} + {9x}^{2} + {16x}^{2} = 725 \\ 29 {x}^{2} = 725 \\{ x }^{2} = 725 \div 29 \\ {x}^{2} = 25 \\ x = 5$
the numbers are 10,15and 20


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