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  • Question
  • The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ?


  • Options
  • A. 33 yrs
  • B. 27 yrs
  • C. 21 yrs
  • D. 29 yrs

  • Correct Answer
  • 29 yrs 

    Explanation

    Let the avg age of 7 boys be 'p' years
    Let the age of the girl be 'q' years
    From given data,
    The age of 7 boys = 7p years
    Now the new average = (p + 1) when 22 yrs is replaced by q
    Now the age of all 7 will become = 7(p + 1) yrs
    Hence, 7p - 22 + q = 7(p + 1) yrs
    7p - 22 + q = 7p + 7
    q = 22 + 7 = 29

    Therefore, the age of girl = q = 29 years.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

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