Question

Find the number which multiplied by 7 is increased by 78.​

Answer 1

❍Let the required number be "x".

⠀⠀⠀⠀⠀________________________________

Given that,

When multiplied by 7,it gives 7x,x imcreases by 78.

${\underline{\boldsymbol{\pink{According \ to \ the \ question \ :}}}}$

We can write as 7x = x + 78

Transporing x to LHS,We get

$: \implies{ \sf{7x - x = 78}}$

$: \implies{ \sf{6x=78}}$

Dividing both sides by 6,We get

$: \implies{ \sf{6x/6=78/6}}$

$: \implies{ \sf{x=13}}$

${\underline{\textsf{Thus,The \ required \ number \ is {\textbf{x \ = \ 13}}}}}$.

Let's Solve one more Example :

If a number is tripled and the result is increased by 5,We get 50.Find the number.

Solution :

❍Let the required number be x.

${\underline{\boldsymbol{\pink{According \ to \ the \ question \ :}}}}$

$:\implies$3x + 5 = 50

Subtracting 5 from both sides,We get

$:\implies$3x + 5 - 5 = 50 - 5

$:\implies$3x = 45

Dividing both sides by 3,We get

$:\implies$3x/3 = 45/3

$:\implies$x = 15

${\underline{\textsf{Therefore,The \ required \ number \ is {\textbf{15}}}}}$.

Answer 2

❍Let the required number be "x".

⠀⠀⠀⠀⠀________________________________

Given that,

When multiplied by 7,it gives 7x,x imcreases by 78.

$\begin{gathered}\\\end{gathered}$

${\underline{\boldsymbol{\pink{According \ to \ the \ question \ :}}}}$

According to the question :

We can write as 7x = x + 78

$\begin{gathered}\\\end{gathered}$

Transporing x to LHS,We get

: $\implies{ \sf{7x - x = 78}}$

$\begin{gathered}\\\end{gathered}$

: $\implies{ \sf{6x=78}}$

$\begin{gathered}\\\end{gathered}$

Dividing both sides by 6,We get

: $\implies{ \sf{6x/6=78/6}}$

$\begin{gathered}\\\end{gathered}$

: $\implies{ \sf{x=13}}$

$\begin{gathered}\\\end{gathered}$

Thus,The required number is x = 13

$\begin{gathered}\\\end{gathered}$

Let's Solve one more Example :

If a number is tripled and the result is increased by 5,We get 50.Find the number.

Solution :

❍Let the required number be x.

${\underline{\boldsymbol{\pink{According \ to \ the \ question \ :}}}}$

:$\implies 3x + 5 = 50$

Subtracting 5 from both sides,We get

:$\implies3x + 5 - 5 = 50 - 5$

:$\implies:⟹ 3x = 45$

$\begin{gathered}\\\end{gathered}$

Dividing both sides by 3,We get

$:\implies3x/3 = 45/3$

$:\implies:⟹ x = 15$

$\begin{gathered}\\\end{gathered}$

${\underline{\textsf{Therefore,The \ required \ number \ is {\textbf{15}}}}}$

$\begin{gathered}\\\end{gathered}$