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If the product of two numbers is 360 and their ratio is 10:9,

Question

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

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Lucas Discussed

If the product of two numbers is

360

and their ratio is

10 : 9

, then find the number.

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Let the two numbers be x and y

As per the question

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

x = \frac{10}{9} y .... (1)

And

x \times y = 360

\Rightarrow \frac{10}{9} y \times y = 360

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

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

\Rightarrow y^{2} = 324

\Rightarrow y = 324

\Rightarrow y = \pm 18

Putting

y = \pm 18

in (1)

\Rightarrow x = \frac{10}{9} \times \pm 18

\Rightarrow x = \pm 20

Hence the two numbers are

\pm 20

and

\pm 18

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Question Text	If the product of two numbers is $360$ and their ratio is $10 : 9$ , then find the number.
Answer Type	Text solution:1
Upvotes	150