Q. 4

Four years ago, Rahim’s age was three times Ramu’s age. After two years, it would just be double. What are their ages now?

Answer :

Let present age of Rahim be ‘x’ and present age of Ramu be ‘y’


According to the question,


Four years ago, Rahim’s age was three times Ramu’s age


(x – 4) = 3(y – 3)


x – 4 = 3y – 9


x – 3y = –9 + 4


x – 3y = –5 … (1)


After two years, it would just be double


(x + 2) = 2(y + 2)


x + 2 = 2y + 4


x – 2y = 4 – 2


x – 2y = 2 … (2)


Subtract equation (2) from (1)



y = 3


Put y = 3 in Equation (1)


x – 3 × 3 = –5


x – 9 = –5


x = –5 + 9


x = 4


Hence, Rahim is of 4years and Ramu is 3 years old.


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