Question

Arpita’s present age is thrice of Shilpa. If Shilpa’s age \[3\] years ago was \[x\] . Then, Arpita’s present age is
A. $3(x - 2)$
B. $3x + 9$
C. $3x - 9$
D. \[3x\]

Answer 1

Hint: In order to solve this question, if you are assuming the current age to be \[x\] , then the age n years ago will be \[x - n\] years. Assume the present age of Shilpa to be \[k\] and then solve the problem as required.

Complete step-by-step answer:
In the question, it is given that there are two persons Arpita and Shilpa having an age relation, and we need to determine the present age of Arpita.
So, let Shilpa's present age be \[k\] years
Then, it is given that Arpita’s present age is thrice of Shilpa,
So, Arpita's present age will be \[3k\] years
Three years ago,
Shilpa's age \[ = x\] years
Shilpa's present age \[ = x + 3\]
Therefore, \[x + 3 = k\]
Arpita's present age \[ = 3k\]
Or, Arpita's present age \[ = 3(x + 3)\]
Or, Arpita's present age is \[3x + 9\] years.

So, the correct answer is “Option B”.

Note: Basic things like addition, subtraction, multiplication and division need to be clear to reach the answer and no complicated calculations are required to answer such questions. Arrange the values given by placing them correctly in an equation by giving variables to the unknown values. Once the equation has been formed, solve the equation to find the answer. These types of questions may seem to be confusing and complicated but once the concept is clear it is easy to solve.
Alternate solution:
In the question, it is given that Shilpa’s age three years ago was \[x\] years.
Therefore, Shilpa’s present age is \[(x + 3)\] years.
Arpita's present age is thrice the present age of Shilpa.
Therefore, Arpita's present age is \[\]years
Or, Arpita's present age is \[3x + 9\] years.
Therefore, (B.) \[3x + 9\] is the correct answer.