Question

Amit is now 20 years old and Leela is 4 year old in. how many years will Amit be twice as old as Leela.​

Answer 1

Answer:

A linear equation is any equation that can be written in the form

ax+b=0ax+b=0

where a and b are real numbers and x is a variable.

Use a linear equation to solve the question.

Complete step-by-step answer:

Age of Amit = 20 yrs………(Given)

Age of Leela = 4 yrs………(Given)

Let the number of years after which Amit will be twice as old as Leela be 'x'.

⇒(20+x)=2(4+x)⇒20+x=8+2x⇒2x−x=20−8⇒x=12⇒(20+x)=2(4+x)⇒20+x=8+2x⇒2x−x=20−8⇒x=12

Therefore, Amit will be twice as old as Leela after 12 years.

Step-by-step explanation:

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Answer 2

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

• Amit is now 20 years old and Leela is 4 year old . In how many years will Amit be twice as old as Leela.

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

Let us suppose that Amit will be be twice as old as Leela after x years.

• Amit's age will be = $\blue{\fbox\orange{ \: ( \: 20 \: + \: x \: ) years. }}$
• Leela's age will be = $\blue{\fbox\orange{ \: ( \:4 \: + \: x \: ) years. }}$

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

$\begin{gathered}\begin{gathered}\underline{\boldsymbol{According\:\: to\: \:the\:\: Question :}} \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Amit's \: age\: = \:Twice \: the \: age \: of \: Leela }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{20 \: + \: x \: = \: 2(4 \: + x)}}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 20 \: + \: x \: = \: 8 \: + \: 2x}}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ 20 \: - \: 8 \: = \: 2x \: - \: x }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ 20 \: - \: 8 \: = \: x }}$

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

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

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ So, \: Amit \: be \: Twice \: as \: old \: as \: Leela \: in = \underline {\underline{12 \: Years }}}\\\end{gathered}\end{gathered}$

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