Question

After 12 years Ankit will be three times as old as he was 4 years ago. Find his present age.

Answer 1

Hint: The given problem is a word problem, to solve this question read the statement carefully and find the conditions given in the question to frame the equations and proceed further.

Complete step-by-step answer:
Let the present age of Ankit be a.
After 12 years his age will be
$ = a + 12$ years
And before 4 years his age was
$ = a - 4$ years

From the question , After 12 years his age will be thrice as he was 4 years ago.
Therefore, the age of Ankit will be
$
   \Rightarrow 3(a - 4) = a + 12 \\
   \Rightarrow 3a - 12 = a + 12 \\
   \Rightarrow 2a = 24 \\
   \Rightarrow a = 12 \\
$
Hence, the present age of Ankit is 12 Years.

Note: In order to solve this type of question, Let the present age of the person as a variable. After assuming the variable frame equations from the conditions given in the questions and solve the problem step by step to reach the solution. Sometimes the framed equations may be linear, sometimes quadratic etc. So we need to remember how to solve these types of equations.