Question

$the \: sum \: of \: two \: rational \: \\ numbers \: is \: 8 \: if \: one \: of \: the \\ numbers \: is \: \frac{ - 13}{7} \: find \: \\ the \: other$
​

Answer 1

Answer:

According to the question,

-13/7 + x = 8

x = 8+13/7

x = (56+13)/7

x = 69/7 is the required fraction.

Explanation:

Hope it helps!!!

Answer 2

$\tt{SOlUTION:- }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\Rrightarrow \small\tt \purple{Let \: other \: rational \: no. \: be \: x }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\purple \Rrightarrow\tt{ \frac{ - 13}{7} + x = 8 }$

$\purple \Rrightarrow \tt{ x = 8 + \frac{ 13}{7} }$

$\purple \Rrightarrow\tt{ x = \frac{8 \times 7}{1 \times 7} + \frac{ 13}{7} }$

$\purple \Rrightarrow\tt{ x = \frac{56}{7} + \frac{ 13}{7} }$

$\purple \Rrightarrow\tt{ x = \frac{56 + 13}{7} }$

$\footnotesize \boxed{ \underline {\purple \Rrightarrow \tt \purple{ \: x = \frac{69}{7} }}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

Verification:-

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\Rrightarrow \tt \purple{ \frac{ - 13}{7} + \frac{69}{7} = \: \: 8 }$

$\Rrightarrow \tt \purple{ \frac{ - 13 + 69}{7} \: \: \: = \: \: \: 8 }$

$\Rrightarrow\tt \purple{ \frac{ - 56}{7} \: \: \: \: \: \: \: \: = \: \: \: \: 8 }$

$\Rrightarrow\tt \purple{ \frac{ 8}{1} \: \: \: \: \: \: \: \: \: \: \: = \: \: \: \: \: 8 }$

$\Rrightarrow\tt \purple{ 8 \: \: \: \: \: \: \: \: \: \: \: = \: \: \: \: \: 8 }$

$\tt \small{ LHS \: \: \: \: \: \: = \: \: \: \: RHS}$

$\small\tt {HENCE, VERIFIED}$