Math, asked by shwetal18, 2 months ago

please answer for solving please no span​

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Answers

Answered by YashChamle
0

Answer:

Smaller Number = ±8

Step-by-step explanation:

Let us consider the smaller number as 'x' and larger number as 'y'.

ο Product of both numbers is 288

Equation:

=> xy = 288

=> y =  \frac{288}{x}  → 1

ο If smaller number is divided by lager number, we get 2/9

Equation:

=> \frac{x}{y} =\frac{2}{9} → 2

By Substituting 1 in 2 we get,

=> \frac{x}{\frac{288}{x} } =\frac{2}{9}

=> \frac{x^2}{288} = \frac{2}{9}

=> x^{2} = \frac{(2)(288)}{9} = 64

=> x=\sqrt{64} = \±8

Therefore x = ±8.

Hope you've understood the solution :)

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