After 12 years Ankit will be three times as old as he was 4 years ago. Find his present age.
Answer
684.3k+ views
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.
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.
Recently Updated Pages
A boat goes 24 km upstream and 28 km downstream in class 10 maths CBSE

Write any three differences between metals and nonmetals class 10 social science CBSE

Amit standing on a horizontal plane finds a bird flying class 10 maths CBSE

Two circles of radii 5 cm and 3 cm intersect at two class 10 maths CBSE

Solve the following i John and Jivanti together have class 10 maths CBSE

What is the relation between orthocenter circumcentre class 10 maths CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Make a sketch of the human nerve cell What function class 10 biology CBSE

Differentiate between Xylem and phloem class 10 biology CBSE

Identify the feminine form of noun nephew a shenephew class 10 english CBSE

