02. The sum of the squares of three numbers which are in the ratio 2:3:4 is 725. Find the numbers.
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firstly,we have to let the ratio no. be x
so, no.is 2x:3x:4x
after squaring it becomes 4x²:9x²:16x²
Now,
4x²+9x²+16x²=725
=> 29x² =725
=> x² =725/29
=> x² =25
=> x=√25
so, x=5
Hence, the numbers are=2×x=2×5=10
And, =3×x=3×5=15
Again,=4×x=4×5=20
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