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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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?

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