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Home Aptitude Problems on Ages See What Others Are Saying!
  • Question
  • If the two digits of the age of Mr. Manoj are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is elder than his wife then find the difference their ages?


  • Options
  • A. Cannot be determined
  • B. 10 years
  • C. 8 years
  • D. 9 years

  • Correct Answer
  • 8 years 

    Explanation

    Let the age of Mr Manoj be (10y + y) yrs.
    ? His wife's age = (10y + x ) years

    Then, ((10x + y + 10y + x) / 11 = 10x + y -10y-x
    ? x + y = 9x - 9y
    ? 8x = 10y
    ? x/y = 5/4

    ? x = 5 and y =4 (because any other multiple of 5 will make x of two digits).
    ? Diff. = (10x + y) - (10y - x)
    = 9x - 9y
    = 9(x-y)
    = 9(5-4)
    = 9 yrs.


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