Question

Find the numbers which are in the ratio 2:3:5 and sum of
their squares is 10982.​

Answer 1

Answer:

the number is 8 12 and 20

Answer 2

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

Let's the numbers are 2x , 3x and 5x

AccordinG to Question :

$\longrightarrow \: \sf {(2x)}^{2} + {(3x)}^{2} + {(5x)}^{2} = 10982 \\ \\\longrightarrow \: \sf {4x}^{2} + {9x}^{2} + {25x}^{2} = 10982 \\ \\ \longrightarrow \: \sf38 {x}^{2} = 10982 \\ \\\longrightarrow \: \sf {x}^{2} = \frac{10982}{38} \\ \\ \longrightarrow \: \sf{x}^{2} = 289 \\ \\\longrightarrow \: \sf x = \sqrt{289} \\ \\ \longrightarrow \: \sf x = 17$

Now

1st number = 2 × 17 = 34

2nd number = 3 × 17 = 51

3rd number = 5 × 17 = 85