Question

Write the equation for following statement
If a number is tripled and result is increased by 5 ,we get 50

Answer 1

$</p><p>{\huge{\red{\boxed{\mathbb{\blue{\underline{\blue{A}{\red{N}{\pink{S}{\orange{W}{\red{E}{\purple{R} }}}}}}}}}}}}$

let the number be x

The equation will be,

${x}^{3} + 5 = 50$

Answer 2

Let the number be x.

The number after it is tripled = 3x

The sum of the number and 5 = 50

This statement can be written in an equation as :-

$= \color{i}\texttt{3}x\texttt{ + 5 = 50}$

Now let us try solving this equation :-

$= \texttt{3}x\texttt{ + 5 = 50}$

$=\texttt{ 3}x \: \: \: \texttt{= 50 - 5}$

$= \texttt{3}x \texttt{ \: = 45}$

$= x \texttt{ = }\frac{\texttt{45}}{\texttt{3} }$

$=\color{hotpink}\texttt{} x \texttt{ \: = 15}$

Let us check whether or not we have found out the correct value of x, by placing 15 in the place of x :-

$= \texttt{3 \: × \: 15 \: + \: 5 \: = \: 50}$

$=\texttt{ 45 + 5 = 50}$

$= \texttt{50 = 50}$

$</strong><strong>\</strong><strong>hookrightarrow</strong><strong> </strong><strong>\texttt{\color{olive}LHS = \color{hotpink}RHS }$

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, this statement can be written in an equation as :-

$= \color{olive}\texttt{3}x\texttt{ + 5 = 50} \: \: , \color{hotpink}\texttt{ (x = 15)}$