Question

Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?

Answer 1

Hint: This is an age-based question. In this question we have to find the present age of the person. To solve this question, we assume the age of the person to be a variable $ x{\rm{ or y}} $ then we use the relations given in the question and using the relations we form an equation having the variables. By solving the equation step by step, we can easily find the value of the present age of the person.

Complete step-by-step answer:
Given:
Let us assume the present age of Ravi is $ x $ years.
So, after 15 years Ravi’s age will be
 $ \Rightarrow \left( {x + 15} \right) $ years.
Now according to the question, the age of Ravi after fifteen years would be four times his present age.
So, using this statement we can form an equation, the equation is given below –
\[\Rightarrow 4x = \left( {x + 15} \right)\]
In this equation $ x $ is a variable representing the present age of Ravi and we have to find the value of $ x $ .
So, solving this equation for the value of $ x $ we get,
\[
\Rightarrow 4x - x = 15\\
\Rightarrow 3x = 15\\
\Rightarrow x = 5{\rm{ years}}
\]
Therefore, the present age of Ravi is $ 5 $ years.

Note: It should be noted that while solving the age-based question we always assume the age of the person as a variable then we get the value of the variable by solving the equation. We can check whether the value of the age calculated is correct or not by substituting the value of the variable into the equation and if this value satisfies the equation then we can say that the value of the age of the person calculated by this method is correct.