Math, asked by saisasank, 4 months ago

the sum of two rational numbers _4. then one of them is -11/6 then other number is​

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Answered by Anonymous
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Answered by Anonymous
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Question ::-

The sum of two rational numbers -4. then one of them is -11/6 then other number is ..?

Given ::-

  • Sum of two rational number = -4

  • One of them =  \dfrac{-11}{6}

To find ::-

  • Another number...?

Solution ::-

Let the other number be x

➠ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \dfrac{ - 11}{6}  + x =  - 4

➠ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x =  - 4 +  \dfrac{ 11}{6}

➠ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x =    \dfrac{  - 24 + 11}{6}

➠ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x =    \dfrac{  - 13}{6}

\underline\text{Verification::-}

x= \dfrac{-13}{6}

L.H.S.

  •  \dfrac{ - 11}{6}  + x

  •  \dfrac{ - 11 - 13}{6}

  •  \dfrac{ - 24}{6}

  •  \dfrac{ \cancel{- 24}}{\cancel6}

  •   - 4

____________

R.H.S = -4

Hence,

{\boxed{\large{\bold{LHS\:=\:RHS}}}}

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