Question

The sum of two rational numbers is 4/9. If one of them is -7/18 then find the other

Answer 1

Answer in the picture.

Answer 2

$\huge{\underline{\underline{\mathfrak{\sf{Answer-}}}}}$

$\large \implies \large \sf \: \: sum \: of \: two \: rational \: number \: = \frac{4}{9} \\ \large \implies \large \sf \: one \: is \: \frac{ - 7}{18} \\ \\ \large \implies \large \sf \: let \: the \: other \: rational \: number \: be \: x \: \\ \\ \huge \implies \large \sf \: \: according \: to \: question \\ \huge \implies \large \sf \: \frac{ - 7}{18} + x = \frac{4}{9} \\ \huge \implies \large \sf \: x = \frac{4}{9} + \frac{7}{18} \\ \huge \implies \large \sf \: x = \frac{8 + 7}{18} \\ \huge \implies \large \sf \: x = \frac{15}{18} \\ \huge \implies \large \sf \: x = \frac{5}{6}$

$\huge\implies\huge\boxed{\boxed{\underline{\red{\bold{ x=\frac{5}{6} }}}}}$