Question

monish thinks of a numder .if he takes away 6 from 5/3 of the number ,the result is is 24 .write the equation and find the numder​

Answer 1

Step-by-step explanation:

Let the number he thinks about = x

Therefore,

$\frac{5x}{3}$ - 6 = 24

$\frac{5x}{3}$ = 30

5x = 30 × 3

5x = 90

x = $\frac{90}{5}$

x = 18

Hope it helps :)

Have a good day.

Answer 2

Let the unknown number be x .

This statement can be written in an equation as :-

$= \frac{ \texttt {5}}{ \texttt {3}} x \texttt { - 6 = 24}$

$= \frac{ \texttt {5}}{ \texttt {3}} x \: \: \texttt = \: \: \texttt {24 + 6}$

$= \frac{ \texttt {5}}{ \texttt {3}} x \texttt { \: = \: 30}$

$= x \texttt { = 30 ÷ } \frac{ \texttt {5}}{ \texttt{3}}$

$= x \texttt { \: = 30 \: ×} \: \: \: \frac{ \texttt {3}}{ \texttt {5}}$

$= x \texttt { =} \: \: \frac{ \texttt {30×3}}{ \texttt {5}}$

$= x \texttt { = } \frac{ \texttt {90}}{ \texttt {5}}$

$= \color{hotpink}x \texttt { \: = 18}$

Let us check whether or not we have found out the correct value of x, by placing 18 in the place of x.

Which means :-

$= \frac{ \texttt {5}}{ \texttt {3}} × \texttt {18 \: - \: 6 \: = \: 24}$

$= \frac{ \texttt {90}}{{3}} \texttt { - 6 = 24}$

$= \texttt {30 - 6 = 24}$

$= \texttt {24 = 24}$

$\hookrightarrow \texttt {\: \color{olive}LHS = \color{hotpink}RHS }$

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore ,

$\color{olive} \texttt {The equation} \: = \color{hotpink}\frac{ \texttt {5}}{ \texttt {3}} × \texttt {18 \: - \: 6 \: \color{olive} = \: 24}$

and the value of the number = 18 .