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OcRam
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Posted on 08-11-08 4:44
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Jamie, Duncan and Ross are talking about their ages. Duncan
realises that his age plus Ross's age is a perfect square. Ross
notices that his age is an exact multiple of the sum of Jamie's
and Duncan's ages. Surprisingly Jamie's age multiplied by Ross's
age is a perfect cube. What are their ages? (1, 1, 8 is not correct answer as 1 year old Duncan can not realise such things)
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vatguy
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Posted on 08-11-08 5:45
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nepali man6e
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Posted on 08-11-08 5:45
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one of the answers might be all three are of same age i.e. 8 For Duncan: D+R= 8+8 = 16 =4*4 For Jamie: J*R= 8*8 = 64 = 4*4*4 For Ross: 16= 1*(8+8) = 16 there might be other answers also, but this answer came first.
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vatguy
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Posted on 08-11-08 5:48
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look at that timing dude...
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OcRam
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Posted on 08-12-08 8:26
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if answer was to be 8, 8 , 8; in that case, Ross's age can not be exact multiple of sum of Jamie's and Duncan's Age. 8 = (8+8)* Integer ------> Mistake Answer is not right. In fact, there is only one answer if we are to assume that there age is less than 100 and not considering the one I have mentioned in the first question. try if you guys can and if you want.
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parbatya
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Posted on 08-12-08 8:39
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Duncan-9
Rose-72
Jamie-3
Last edited: 12-Aug-08 09:16 AM
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OcRam
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Posted on 08-12-08 9:17
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Parbatya is wrong. Duncan + Ross is not perfect square.
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OcRam
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Posted on 08-12-08 9:19
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Ok, after editing, u got it right. I know u r talented Mr. Parbatya. Right answer by parbatya, that is Duncan 9 Rose 72 Jamie 3 Thank you guys
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parbatya
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Posted on 08-12-08 9:19
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How about the new solution?
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OcRam
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Posted on 08-12-08 9:20
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nepali man6e
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Posted on 08-12-08 11:43
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thanks dude, I really messed up with the multiple and the (prime)factor stuff.
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hemu
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Posted on 08-12-08 12:21
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Also Check this out:
Duncan = 17
Rose = 64
Jamie = 8
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OcRam
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Posted on 08-12-08 12:27
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ROSS = INTEGER* (JAMIE + DUNCAN 64 = INTEGER * (17+8) ---->Mistake
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Mr. Hyde
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Posted on 08-12-08 12:33
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Hemu! To add to OcRam's last equation, Ross age has to be divisible by the sum of Duncan and Jamie ages for your solution to work and still meet the conditions provided in the problem. OcRam! do you have any other such math trivia you wanna put forth?
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hemu
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Posted on 08-12-08 1:52
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Mr Hyde, OcRam,
I hope if you go through it. It is divisible exactly by 2.56. You might have confused with the decimal number. If you go through it, it is exactly divisible by 2.56.
Ross = z * (Jamie + Duncan)
or 64 = 2.56 * (8 + 17)
explore it............
Last edited: 12-Aug-08 02:01 PM
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hemu
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Posted on 08-12-08 1:52
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OcRam ,
The question has not mentioned about integer.
so ,
Ross = y * ( Jamie + Duncan)
or, 64 = 2.56 *(8 + 17)
Check this out. Rather then going traditional try exploring.
Last edited: 12-Aug-08 01:52 PM
Last edited: 12-Aug-08 01:58 PM
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hemu
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Posted on 08-12-08 1:52
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Last edited: 12-Aug-08 01:53 PM
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OcRam
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Posted on 08-12-08 2:22
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exact multiple. come on, that's basic....
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Mr. Hyde
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Posted on 08-12-08 2:30
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That's what happens when a wanna-be lawyer tries to solve a basic mathematical problem. ![](../chat/smileys/m-biggrin.gif) In Math, when you say 'x'(dividend) is divisible by 'y'(divisor), it leaves no remainder and the quotient is an integer.
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