Question

If the sum of two rational numbers is -14/3 if one of the rational number-4 what is the other number

Answer 1

${ \red{ \huge{ \mathcal{ \underline{ \underline{ \: question}}}}}}$

The sum of two rational numbers is -14/3.
if one of the rational number is -4. what is the other number.

${ \red{ \huge{ \mathcal{ \underline{ \underline{ \: solution}}}}}}$

${ \blue{ \bold{ \underline{ \: given}}}}$

${ \bigstar{ \bold{ \: sum \: of \: two \: rational \: numbers \: = \: - \frac{14}{3}}}}$

${ \bold{ \: one \: rational \: number \: = \: - 4}}$

${ \blue{ \bold { \underline{ \: to \: find}}}}$

${ \bold{ \: other \: rational \: number}}$


let the other rational number be x

${ \rightarrow{ \: x \: + \: ( - 4) \: = \: - \frac{14}{3} }}$

${ \rightarrow{ \: x \: = \: - \frac{14}{3} \: + \: 4}}$

${ \rightarrow{ \: x \: = \: \frac{( - 14 \: + \: 12)}{3}}}$

${ \rightarrow{ \: x \: = \: - \frac{2}{3} }}$


${ \red{ \huge{ \mathcal{ \underline{ \underline{ \: answer}}}}}}$

${ \bold{ \: other \: rational \: number \: = \: - \frac{2}{3} }}$

☆HoPE iT hELpS you

Answer 2

$\huge\underline\mathtt\color{blue}Given:$

The sum of rational numbers = $\frac{ - 14}{3}$

And one rational number = - 4

$\rule{300}{2}$

$\huge\underline\mathtt\color{blue}ToFind:$

The other rational number.

$\rule{300}{2}$

$\huge\underline\mathtt\color{blue}Solution:$

Let the other rational number be x.

A.T.Q

$\sf{x + ( - 4) = \frac{ - 14}{3} }$

$\sf{\implies x - 4 = \frac{ - 14}{3} }$

$\sf{\implies x = \frac{ - 14}{3} + 4}$

$\sf{\implies x = \frac{ - 14 + 12}{3} }$

$\sf{\implies x = \frac{ - 2}{3} }$

Hence the other rational number is

$\sf{x= \frac{ -2}{3} }$

$\rule{300}{2}$

$\huge\underline\mathtt\color{blue}ThankYou$