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Question

If the product of two numbers is $360$ and their ratio is $10 : 9$ , then find the numbers.

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Solution

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Let the numbers be $x$ & $y$

$\frac{x}{y} = \frac{10}{9} \Rightarrow x = \frac{10 y}{9}$

$x y = 360$ substituting $x = \frac{10 y}{9}$

$\frac{10 y^{2}}{9} = 360$ $\Rightarrow y = 18$

$x = \frac{10 \times 18}{9} = 20$

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