Math, asked by Rollerqueen, 1 month ago

{ \sf{ \color{maroon}{Question:−}}}


The sum of two rational number is -2 if one
of the number is 10/3 the other number is?

___
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Answers

Answered by Anonymous
18

Answer:

Hey mate,

Answer to your question is ──

Given,

Sum = -2

one number = 10/3

other number = ?

To find,

Other number = X

then,

X + 10/3 = -2

X = -2 -10/3

X = -2/1 -10/3

X = (-6) +(-10) /3 ( by taking lCM of 1 and 3)

x = -16/3

Hope it helps you.

With regards, Divya.

Bye Rollerqueen♡

Answered by Anonymous
117

Answer:

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{maroon}{Given:}}}}}}}\end{gathered}

  • \red\bigstar The sum of two rational number is -2.
  • \red\bigstar One of the number is 10/3.

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{maroon}{To Find:}}}}}}}\end{gathered}

  • \red\bigstar Other Number

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{maroon}{Solution:}}}}}}}\end{gathered}

{\dag{\underline{\sf{Let \: the,}}}}

  • \green\star Other number be = x
  • \green\star First number = 10/3

 \dag{\underline{\sf{According  \: to \:  the \:  question}}}

{:  \implies{\sf{\dfrac{10}{3} + x = -2}}}

{:  \implies{\sf{ x = -2 - \dfrac{10}{3}}}}

{:  \implies{\sf{ x =  - \dfrac{2}{1} - \dfrac{10}{3}}}}

{:  \implies{\sf{ x =   - \dfrac{6  + 10}{3}}}}\qquad {\big\{{ -  +  -  =  +   \big\}}}

{:  \implies{\sf{ x =  - \dfrac{16}{3}}}}

 \dag{\underline{\boxed{\bf{\red{x=  - \dfrac{16}{3}}}}}}

 \therefore{\underline{\sf{Hence  \: the \: other \: number \: is \:  \dfrac{16}{3}}}}

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{maroon}{Verification:}}}}}}}\end{gathered}

{:  \implies{\sf{\dfrac{10}{3} + x = -2}}}

  • Substituting the values of x

{:  \implies{\sf\bigg({\dfrac{10}{3}\bigg) +\bigg( - \dfrac{16}{3}\bigg)  = -2}}}

{:  \implies{\sf\bigg({\dfrac{10}{3} - \dfrac{16}{3}\bigg)  = -2}}}

{:  \implies{\sf\bigg({\dfrac{10 - 16}{3} \bigg)  = -2}}}

{:  \implies{\sf\bigg({ - \dfrac{6}{3} \bigg)  = -2}}}

{:  \implies{\sf{\cancel{ - \dfrac{6}{3}}= -2}}}

{:  \implies{\sf{  - 2}  =  -2}}

\dag{\underline{\boxed{\bf{\red{ LHS=RHS }}}}}

 \therefore{\underline{\sf{Hence \:  Verified}} \: \checkmark}

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