The sum of the squares of three numbers which are in ratio 2 : 3 : 4 is 725. What are the numbers?
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Step-by-step explanation:Let the ratio be x.
Therefore, the new ratio is 2x:3x:4x;
Now,
(2x)^+(3x)^+(4x)^=725
=>4x^+9x^+16x^=725
=>29x^=725
=>x^=25(dividing both sides by 29)
=>x=5
Hence the numbers are,
2x=2×5
=10
3x=3×5
=15
4x=4×5
=20
Therefore the numbers=10,15,20
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