Question

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

Answer 1

Hint: A linear equation is any equation that can be written in the form
\[ax + b = 0\]
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'.
$
   \Rightarrow \left( {20 + x} \right) = 2\left( {4 + x} \right) \\
   \Rightarrow 20 + x = 8 + 2x \\
   \Rightarrow 2x - x = 20 - 8 \\
   \Rightarrow x = 12 \\
 $
Therefore, Amit will be twice as old as Leela after 12 years.

Note: VERIFY YOUR ANSWER! With this step you can know whether you got the correct answer or not long before your instructor ever looks at it. We verify the answer by plugging the results from the previous steps into the original equation.