Final answer:
Mayank's present age is determined by setting up and solving a simple algebraic equation based on the condition that after 15 years, Mayank's age will be four times his current age. Solving this equation reveals that Mayank's present age is 5 years.
Step-by-step explanation:
The student's question is about determining Mayank's present age given that after 15 years, his age will become four times his present age. To solve this problem, we need to set up an equation based on the information provided.
Let's denote Mayank's present age as 'x' years. According to the problem statement, after 15 years, his age would be 'x + 15' years. It is also given that his age at that time would be four times his current age. Therefore, we can write the equation as:
x + 15 = 4x
To solve for 'x', we first subtract 'x' from both sides of the equation, which simplifies to:
15 = 3x
Then, we divide both sides of the equation by 3 to find the value of 'x', which gives us:
5 = x
Therefore, Mayank's present age is 5 years. After 15 years, his age will become four times its original value, leading to an age of 20 years, which is four times 5 years.