Question

Ankita's age is twice Radha's age plus 2 more. Write an algebraic expression to represent Ankita's age, if Radha's age is represented by x. Also, find Ankita's age when Radha's age is 8 years.
$
  {\text{A}}{\text{. Ankita's age = x + 2, 10 years}} \\
  {\text{B}}{\text{. Ankita's age = 2x + 2, 18 years}} \\
  {\text{C}}{\text{. Ankita's age = 2x + 2, 10 years}} \\
  {\text{D}}{\text{. Ankita's age = 2x - 2, 14 years}} \\
$

Answer 1

Hint: In order to find out the algebraic expression and Ankita’s age when Radha’s age is 8, we construct a general equation with the data given, I.e. age of radha = x and other conditions given in the question which gives us the algebraic expression. Then we substitute x = 8 to find the age of ankita when radha is 8.

Complete step-by-step answer:
Given Data,
Age of radha = x
Ankita is twice the age of radha plus two more

Now we know that radha is ‘x’ years old.
It is said that ankita is twice the age of radha (i.e. 2 × x) plus two (+2).
Hence age of ankita = 2x + 2

Now the age of ankita is when radha is 8.
I.e. x = 8
Hence the age of ankita = 2 (8) + 2 = 16 + 2 = 18 years.

Therefore the algebraic expression representing ankita’s age is (2x + 2) and the age of ankita when radha is 8 years old is 18 years.
Option B is the correct answer.

Note: In order to solve this type of questions the key is to be very careful while constructing the relation between their ages using the data given in the question. While explaining in words the operations are not referred to as addition, subtraction etc. We have to look out for words like twice, which means two times of something. One half which means divided by 2. Sum which means addition and difference which means subtraction etc.
Once the relation is constructed correctly, the rest of the problem is pretty straight forward.


There was no need for any currency conversion because the units of money were not given here. The letter k after a number refers to the value 1000. Example: 1k essentially means 1000.