Question

After 12 years I shall be 3 times as old as I was 4 years my ago. Find my Present age.​

Answer 1

Answer:

Step-by-step explanation:

let assume your present age is = x

and 4 years ago your age was = x-4

now according to que.

              x + 12 = 3 ( x - 4 )

              x + 12 = 3x -12

              2x = 24

                x = 12

that it your present age is 12 years.

Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• After 12 years I shall be 3 times as old as I was 4 years my ago. Find my Present age.

$\large\underline{ \underline{ \sf \maltese{ \: Given \: or \: Suppose :- }}}$

• Let my present age be x years.
• After 12 years my age will be ( x + 12 ) years.
• 4 years ago my age was ( x - 4 ) years.
• It is given that after 12 years I shall be 3 times as old as I was 4 years ago.

$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\underbrace\red{\boxed{ \sf \blue{ According \: to \: The \: Question }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: x \: + \: 12 \: = \: 3 \: ( \: x \: - \: 4 \: ) }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: + \: 12 \: = \: 3 \: ( \: x \: - \: 4 \: ) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: + \: 12 \: = \: 3 x \: - \: 12 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: - \: 3x \: = \: - 12\: - \: 12 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ - 2x \: = \: - 24 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: = \: \frac{ - 24}{ - 2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: = \: \cancel\purple{ \frac{ - 24}{ - 2} } }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: = \: 12 }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{x \: = \: 12 }}}$

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$\large\underline{ \underline{ \sf \maltese\green{ \: Verification:- }}}$

• Put the value of x ( 12 ) in the Equation which we have got after solving it to verify the answer.
• Right Hand Side = Left Hand Side

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: x \: + \: 12 \: = \: 3 \: ( \: x \: - \: 4 \: ) }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 12 \: + \: 12 \: = \: 3 \: ( \: 12 \: - \: 4 \: ) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 24\: = \: 36 \: - \: 12 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 24\: = \: 24 }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{24\: = \: 24}}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ My \: Present \: age \: = \underline {\underline{ 12 \: years}}}\\\end{gathered}\end{gathered}$

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