find three positive numbers in the ratio 2:3:5, the sum of whose squares is 950
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Ratio = 2:3:5
Let the numbers be 2x , 3x , 5x
ATP
(2x)^2 + (3x)^2 + (5x)^2 = 950
=> 4x^2 + 9x^2 + 25x^2 =950
=> 38x^2 = 950
=> x^2 = 950/38
=> x^2 = 25
=> x = 5
So the numbets are
2x = 2 × 5
=> 10
3x = 3 × 5
=> 15
5x = 5×5
=> 25
Let the numbers be 2x , 3x , 5x
ATP
(2x)^2 + (3x)^2 + (5x)^2 = 950
=> 4x^2 + 9x^2 + 25x^2 =950
=> 38x^2 = 950
=> x^2 = 950/38
=> x^2 = 25
=> x = 5
So the numbets are
2x = 2 × 5
=> 10
3x = 3 × 5
=> 15
5x = 5×5
=> 25
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