Q4 of 8 Page 54

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?

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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