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Q.

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.
 


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a

Ankita’s age =Question Image

b

Ankita’s age =Question Image

c

Ankita’s age =Question Image

d

Ankita’s age =Question Image 

answer is B.

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Detailed Solution

Concept: We build a general equation with the given data, i.e. age of Radha = x and other criteria mentioned in the question, which gives us the algebraic expression, in order to determine the algebraic expression and Ankita's age when Radha's age is 8. The age of Ankita at Radha's age of 8 is therefore determined by substituting x = 8.
Given data,
Radha’s age = Question ImageRadha is two years younger than Ankita, making her older by two.
We know that Radha is Question Image years old
Ankita is reported to be two times (Question Image) plus two (Question Image) Radha's age.
Therefore, the age of Ankita is = Question ImageRadha will turn 8 when Ankita reaches this age i.e. Question Image                                  So, the age of Ankita is = Question Imageyears
Therefore, the algebraic equation which represents Ankita’s age is Question Imageand the age of Ankita when Radha is Question Image years old is Question Imageyears
Hence, the correct answer is option (2).
 
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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.