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Thread: How old is Chris now?

  1. #1
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    How old is Chris now?

    Pat and Chris have the same birthday. Pat is twice as old as Chris was
    when Pat was as old as Chris is now. If Pat is 24 now, how old is
    Chris now?


  2. #2
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    Re: How old is Chris now?

    Hi James,

    Now the Chris age is 16.

    ----------------
    suresh


  3. #3
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    Re: How old is Chris now?

    NO it is wrong


  4. #4
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    Re: How old is Chris now?

    16 is the right answer..
    When Pat was 16 Chris was 8..i.e., twice the age as chris.. and after 8 years now chris is 16 and Pat is 24..


  5. #5
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    Re: How old is Chris now?

    I think you guys have misinterpret the statement
    "Pat is twice as old as Chris was
    when Pat was as old as Chris is now"


    Last edited by jamesravid; 08-04-2007 at 09:43 AM.

  6. #6
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    Re: How old is Chris now?

    I guess, i solved the problem.. chris is 18 years old..


  7. #7
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    Re: How old is Chris now?

    Yes your answer is correct....but you need to give your solution here


  8. #8
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    Re: How old is Chris now?

    Yes james...I am also waiting for his explanation...i have a doubt about this...

    please post the explanation if he doesn't post it.

    --------------------
    suresh


  9. #9
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    Re: How old is Chris now?

    Pat(now) = 24
    24 = 2 * chris(some years before ) ' Pat is twice as old as Chris was
    chris(some years before ) = 12
    Chris(now) = 12 + x ' x years Later
    pat(some years before) = Chris(now) ' Pat was as old as Chris is now
    Pat(some years before) = Pat(now) - x ' x years Before
    Pat(some years before) = 24 - x
    Chris(now) = 24 - x 'Using the 5th Line
    Chris(now) = 12 + x 'Using the 4th Line
    24 - x = 12 + x
    2x = 12 : x = 6

    substituting the value of x in Chris(now) = 12 + x => 18
    Chris = 18


  10. #10
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    Re: How old is Chris now?

    Hi Deepak,

    Look at the following sentence...
    "chris(some years before ) = 12".

    My First Doubt is how you assign the value 12....Because Pat age is 24 now only..Not some years before.....

    Look at the following sentence...
    Pat is twice as old as Chris was when Pat was as old as Chris is now

    OK your answer is 18. we substitude one by one for the above sentence..

    First " When pat was as old as Chris is now". So at that time pat age is 18.
    Second "Pat is twice as old as Chris" So at that time Chris age is 9, then only his age is 18.

    Now pat age is 24..so the difference of years is 6.
    So Chris age + 6 = 15...
    But your answer is 18...
    How you got it? can you explain.....

    --------------------
    suresh


  11. #11
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    Re: How old is Chris now?

    Suresh,
    i guess you have misinterpreted that sentence.. i will make it little easier for you.
    "Pat is twice as old as Chris was" => Pat(now)= (24/2)= chris(some years before).. This sentence is little tricky.If you understand this sentence correctly.. you can have 2 possibilities..
    lets say for ex:- pat can be younger or older to chris.."Pat is twice as old as Chris was" because..
    if some years before chris was 6 pat is now 12..=> but they have given another point that pat is 24.. that indicates that pat is older to chris.. so.. calculating accordingly as i have in my previous answer.... taking the value of Pat.. i found the answer...


  12. #12
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    Re: How old is Chris now?

    ok but we have another line
    1. Pat is twice as old as Chris was
    2.when Pat was as old as Chris is now
    u exlpained for 1st only . what about second it confuses to me .
    tell about 2nd one


  13. #13
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    Smile Re: How old is Chris now?

    Pat's Present Age = 24

    let Chris be x years younger to pat.

    So , present age of Chris = 24 -x.

    SO when Pat's Age was 24-x (present age of chris)

    Then Chris's age = 24-x-x=24-2x

    But at that time Pat's Age = 2(Chris' age)

    i.e. 24-x=2(24-2x)

    i.e 3x=24

    x=8.

    Present age of Chris = 24-8 =16 years.


  14. #14
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    Re: How old is Chris now?

    It looks like you people still have confusion in this problem. The following statement is a tricky one,

    Pat is twice as old as Chris was when Pat was as old as Chris is now


    let us assume that Pat's current age is P and Crish age is C and difference between P and C is D. As per the above statement,

    age of Crish when Pat's age was C is half of the current age of Pat (that is P). When Pat's age was C Crish age was C - D (since difference between their age is D)
    i-e) P = 2 ( C - D)
    and P = C + D

    Solving the above equations you will get C = 18

    Hope this solution is clear.


  15. #15
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    Re: How old is Chris now?

    Hi James,

    Your explanation is nice....What we assumed previously is

    P-D = 2 (C - D) (We assume some years back is apply for both Pat age and Chris age)
    P = C + D

    Now if you solve this equation then you can get the answer 16....But now i am clear. My answer is wrong.

    -----------------
    suresh


  16. #16
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    Re: How old is Chris now?

    can you make it more clear


  17. #17
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    Cool Re: How old is Chris now?

    Let Present ages be
    Pat = P ; Chris = C
    No years we are talking in past = 'x'
    Previous Ages
    Pat = P - x ; Chris = C - x;
    Pat is twice as (P) as old as Chris WAS (c-x)
    hence
    P= 2(C-x)
    when Pat was(P-x) as old as Chris is now(C)
    hence
    P-x = C
    Solving,
    x=6

    Chris= 18


  18. #18
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    Re: How old is Chris now?

    ....................

    Last edited by riimps; 03-11-2008 at 01:29 PM.

  19. #19
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    Re: How old is Chris now?

    Let present age of Chris=x
    We know present age of Pat=24

    Earlier Age t yrs earlier Present Age
    Chris=x-t Chris=x
    Pat=x Pat=24

    Pat is twice as old as Chris was
    when Pat was as old as Chris is now.


    So,
    24=2(x-t).(1)
    x+t=24(2)
    solving these simultaneously we get, x=18

    Wat everyone(including me in my 1st attempt) were doing, were solving this question:-
    Pat was twice as old as Chris was
    when Pat was as old as Chris is now.


    Check out the words in red carefully.
    I hope this may help those, who r still nt clear.

    Last edited by riimps; 03-11-2008 at 02:24 PM.

  20. #20
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    Re: How old is Chris now?

    The answer is 12.


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