Question

The sum of two rational numbers is 17upon -4. if one of them is -7 upon 3 , find the other.

Answer 1

$\boxed{\boxed{\large\mathbf{- \frac{23}{12} }}}$

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$\underline{\large\mathbf{GIVEN :}}$

Sum of 2 numbers = $\mathsf{- \frac{17}{4}}$

One Number = $\mathsf{- \frac{7}{3}}$

$\underline{\large\mathbf{TO \: FIND :}}$

Other Number =?

$\underline{\underline{\bf\huge\mathfrak{SOLUTION}}}$

Let the other number be $\bf{x}$

$\underline\text{We know that,}$

$\textsf{Their sum} \mathsf{ = \frac{-7}{3} }$

$\mathsf{=> x + (\frac{-7}{3}) = - \frac{17}{4}}$

$\mathsf{=> x - \frac{7}{3} = - \frac{17}{4}}$

$\mathsf{=> x = - \frac{17}{4} + \frac{7}{3}}$

$\mathsf{=> x = \frac{-51 + 28}{12}}$

$\boxed{\mathbf{=> x = - \frac{23}{12}}}$
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