Find three positive numbers which are in the ratio 2:3:5, the sum of whose square is 950
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Hello Friends...
Here is ur answer :
Let the number be 2x, 3x and 5x
The sum of the squares of these numbers is 950.
According to question,
(2x)² + (3x)² + (5x)² = 950
4x² + 9x² + 25x² = 950
38x² = 950
{x}^{2} = \frac{950}{38}x
2
=
38
950
{x}^{2} = 25x
2
=25
x = \sqrt{25}x=
25
x = 5x=5
Numbers are :
2x = 2 × 5 = 10
3x = 3 × 5 = 15
5x = 5 × 5 = 25
The three positive numbers are 10, 15 and 25.
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