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-   -   Their Ages . (https://www.askmehelpdesk.com/showthread.php?t=307035)

  • Jan 22, 2009, 03:18 AM
    ROLCAM
    Their Ages .
    THEIR AGES.

    "My husband's age," remarked a lady the other day, "is represented by
    the figures of my own age reversed. He is my senior, and the difference
    between our ages is one-eleventh of their sum."
  • Jan 22, 2009, 03:31 AM
    shatriya
    Husband age = 54
    Wife age= 45
    Difference between their ages = (1/11) * (54+45) = (1/11) * (99) = 9
    Which is, 54-45 = 9
  • Jan 22, 2009, 04:18 AM
    juhi2011
    Quote:

    Originally Posted by shatriya View Post
    Husband age = 54
    Wife age= 45
    Difference between their ages = (1/11) * (54+45) = (1/11) * (99) = 9
    Which is, 54-45 = 9

    I want to know the equation
  • Jan 23, 2009, 01:24 AM
    shatriya
    Quote:

    Originally Posted by juhi2011 View Post
    i want to know the equation

    I haven't used any equation for this. I'll tell how I did it.
    Take any 2 numbers so that after reversing them, the difference between them shouldn't be too much, as the difference in the ages of wife and husband will increase.
    so, numbers that will come to you would be like this,
    23 and 32, 34 and 43 etc.
    If you notice, the difference in all the cases will be 9.
    As per the clause given by wife, the difference in their ages is equal to 1/11th of the sum of their ages.
    therefore, wife's age = a, husband's age = b, so b - a =9
    b - a = (1/11) * (a + b),
    9 = (1/11) * (a + b),
    a + b = 99
    and, b - a = 9,
    On solving, we get a = 45, and b = 54
  • Jan 23, 2009, 02:08 AM
    juhi2011
    Quote:

    Originally Posted by shatriya View Post
    I haven't used any equation for this. I'll tell how I did it.
    If you notice, the difference in all the cases will be 9.
    As per the clause given by wife, the difference in their ages is equal to 1/11th of the sum of their ages.
    therefore, wife's age = a, husband's age = b, so b - a =9
    b - a = (1/11) * (a + b),
    9 = (1/11) * (a + b),
    a + b = 99
    and, b - a = 9,
    On solving, we get a = 45, and b = 54

    Rest I got, If you notice, the difference in all the cases will be 9. , this was the biggest clue I was missing... gr8

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