Math, asked by rocky0000141, 7 months ago

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

Answers

Answered by Anonymous

12

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

Hope it will be helpful :)☺️

Answered by Anonymous

2

$\underline{\underline{\mathit{\huge{\purple{ AnSwEr }}}}}$

$\implies$

.....

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

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

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

$<body bgcolor = "Lavender">$

$\mathfrak{\red{\huge{\underline{\overline{ ♡Good }}}}}$ $\mathfrak{\huge{\underline{\overline{\red{ Morning♡ }}}}}$ $<marquee direction = "left" bgcolor = "aqua"> Hope this helps uh☺️❤️✌️$

Previous Question

Next Question

Similar questions

Math, 4 months ago

2.08 ÷ 0.2 ( step by step)...

Math, 4 months ago

Please answer this question step by step and I will mark you as the brainliest. Please see the attachment It's a problem from trigonometry...

Math, 4 months ago

राइट ट्रायंगल विद साइड्स 3 सेंटीमीटर 4 सेंटीमीटर एंड 5 सेंटीमीटर फाइंड इट्स एरिया...

Science, 7 months ago

What are ‘the camel’, ‘the mongoose’, ‘kaboom’ and ‘aluminum’ that have been in news recently? [A] Cricket bats [B] Military codes [C] Squadrons [D] Chess moves ...

Science, 7 months ago

Which among the following multilateral convention seeks to protect the human health and environment from Persistant Organic Pollutants (POPs)? [A] Bonn Convention [B] Stockholm Convention [C] Rotterdam Convention [D] Basel Convention ...

Biology, 10 months ago

1 What is the pattern for Binary Fission? 2 How many HEARTS does a Fish, Frog and Human have?

Math, 10 months ago

A retailer sold bat at 25% profit. Cost price of 5 bats is equal to cost price of 4 balls. On ball retailer earns 40% profit. If on selling one bat and one ball he earns Rs. 45 profit then find cost price of ball...

Business Studies, 10 months ago

what do you understand by mock interview...