Math, asked by rocky0000141, 1 year ago

Two numbers are in the ratio of
2:3 , if sum of their squares is 468,find them.

Answers

Answered by Anonymous

Answer:

Let one number be 2x and other be 3x

Then,

(2x)² + (3x)² = 468

4x² + 9x² = 468

13x² = 468

x² = 36

x = 6

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Answered by Anonymous

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$\implies$

.....

$\frac{x}{y} = \frac{2}{3} \\ 3x = 2y$

eq.......(1)

$x = \frac{2y}{3}$

for

${x}^{2}$

${x}^{2} = \frac{4 {y}^{2} }{9}$

A/Q,

${x}^{2} + {y}^{2} = 468$

$\frac{4 {y}^{2} }{9} + {y}^{2} = 468 \\ \frac{4 {y}^{2} + 9 {y}^{2} }{9} = 468 \\ 13 {y}^{2} = 468 \times 9 \\ 13 {y}^{2} = 4212 \\ {y}^{2} = \frac{4212}{13} \\ {y}^{2} = 324 \\ y = \sqrt{324} \\ y = 18$

for the value of x...putting the value of y

$x = \frac{2y}{3} \\ x = \frac{2 \times 18}{3} \\ x = 6 \times 2 \\ x = 12$

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Two numbers are in the ratio of 2:3 , if sum of their squares is 468,find them.​

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Hope it will be helpful :)☺️

Two numbers are in the ratio of
2:3 , if sum of their squares is 468,find them.