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Q: Arun is the elder brother of Kiran. The difference in their ages is 20 years. If 5 years ago, Arun was 5 times as old as Kiran then was, then find the present age (in years) of Arun.
  • A. 20
  • B. 10
  • C. 30
  • D. 40
Correct Answer: Option C - Let the age of Arun = x And the age of Kiran = y According to the question, x – y = 20 --------(i) and x – 5 = (y – 5)5 x – 5y = –20--------(ii) Substracting equation (i) and (ii) x – y – x + 5y = 20 + 20 4y = 40 y = 10 putting the value of y in equation (i) x – 10 = 20 x = 30 years
C. Let the age of Arun = x And the age of Kiran = y According to the question, x – y = 20 --------(i) and x – 5 = (y – 5)5 x – 5y = –20--------(ii) Substracting equation (i) and (ii) x – y – x + 5y = 20 + 20 4y = 40 y = 10 putting the value of y in equation (i) x – 10 = 20 x = 30 years

Explanations:

Let the age of Arun = x And the age of Kiran = y According to the question, x – y = 20 --------(i) and x – 5 = (y – 5)5 x – 5y = –20--------(ii) Substracting equation (i) and (ii) x – y – x + 5y = 20 + 20 4y = 40 y = 10 putting the value of y in equation (i) x – 10 = 20 x = 30 years