Question

The sum of two rational number is 11/24 If one of them is 3/8 fjnd the other ​

Answer 1

Answer:

1/12 is the other number

Answer 2

Given :-

• The sum of two rational number is 11/24.

• One of them is 3/8.

To Find :-

• What is the other number.

Solution :-

Let,

$\mapsto \bf{Other\: number =\: x}$

Given :

$\begin{gathered}\bigstar\: \: \sf\bold{\red{Sum\: of\: two\: rational\: number =\: \dfrac{11}{24}}}\\\end{gathered}$

$\begin{gathered}\bigstar\: \: \sf\bold{\red{One\: number =\: \dfrac{3}{8}}}\\\end{gathered}$

According to the question :

$\longrightarrow \sf \dfrac{11}{24} =\: \dfrac{3}{8} + x$

$\longrightarrow \sf \dfrac{11}{24} - \dfrac{3}{8} =\: x$

$\longrightarrow \sf \dfrac{11 - (9)}{24} =\: x$

$\longrightarrow \sf \dfrac{11 - 9}{24} =\: x$

$\longrightarrow \sf \dfrac{\cancel{2}}{\cancel{24}} =\: x$

$\longrightarrow \sf \dfrac{1}{12} =\: x$

$\begin{gathered}\longrightarrow \sf \bold{\red{x =\: \dfrac{1}{12}}}\\\end{gathered}$

$\begin{gathered}{\small{\bold{\underline{\therefore\: The\: other\: number\: is\: \dfrac{1}{12}\: .}}}}\\\end{gathered}$

${ \bold{ \underline{ \underline{\quad{V E R I F I C A T I O N :}{\quad}}}}}$

$\begin{gathered} \\ \: \: \circ \: \: \tt{ \: \frac{1}{12} + \frac{3}{8} = \frac{11}{24}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \implies \: \frac{(1 \times 2)}{(12 \times 2)} + \frac{(3 \times 3)}{(8 \times 3)}= \frac{11}{24} \ \\ \\ \\ \: \: \: \implies \tt \: \frac{2}{24} + \frac{9}{24} = \frac{11}{24} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \implies \tt \: \frac{2 + 9}{24} = \frac{11}{24} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \implies \frac{11}{24} = \frac{11}{24} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \implies{ \underline{ \boxed{ \boldsymbol { \pmb{ \red{ L.H.S = R.H.S}}}}}} \: \: \bigstar\end{gathered}$