Math, asked by meenurajput37, 7 months ago

Product of two rational numbers is 15, if one of them is
-2/3
thenfind other​

Answers

Answered by saidhanush56
5

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Answered by Uriyella
10

Given :–

  • Product of two rational numbers = 15.
  • One of the number =  \sf \dfrac{-2}{3}

To Find :–

  • The other number.

Solution :–

Let

The other number be x.

According to the condition,

One number × Other number = Product of both numbers

Here the given values are,

  • One number =  \sf \dfrac{-2}{3}
  • Product of two rational numbers = 15.

So,

 \rightarrow \dfrac{ - 2}{3}  \times x = 15

 \rightarrow \dfrac{ - 2}{3}  \times \dfrac{x}{1} = 15

 \rightarrow \dfrac{-2x}{3} = 15

 \rightarrow -2x = 15 \times 3

 \rightarrow -2x = 45

 \rightarrow x =  \dfrac{-45}{ 2}

Hence,

The other number is  \sf \dfrac{-45}{2}

Verification :–

One number × Other number = Product of both numbers

  • One number =  \sf \dfrac{-2}{3}
  • Other number =  \sf \dfrac{-45}{2}
  • Product of both numbers = 15.

\rightarrow \dfrac{ \cancel{-2}}{3}  \times \dfrac{-45}{  \cancel{2} } = 15

 \rightarrow \dfrac{-1}{ {3} } \times  \dfrac{ {-45}}{1}  = 15

 \rightarrow \dfrac{\cancel{-}1 \times (\cancel{-}45)}{3 \times 1}

 \rightarrow \dfrac{1 \times 45}{3}

 \rightarrow \cancel \dfrac{45}{3}  = 15

 \rightarrow15 = 15

Hence Verified !!

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