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Old 11-14-2008, 03:56 AM
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Default Number substitution

AA + BB + CC = BAC

Can someone help - need numbers substituting the letters above.

I am unable to figure out. Thank you.
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Old 11-14-2008, 04:17 AM
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Quote:
Originally Posted by fecoupefe View Post
AA + BB + CC = BAC

Can someone help - need numbers substituting the letters above.

I am unable to figure out. Thank you.
11(A+B+C) =100*B+10*A+C
A=89B-10C
you need to find the integers from 0 to 9 forA, B, C to solve above eqn.
and I know none of them?????
what about A=0 B=0 C=0(that's obvious)
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Old 11-14-2008, 05:11 AM
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Default So...

I was under the impression that AA had to be the same numbers, i.e. 11 or 22

and likewise with BB and CC

.. am I wrong in thinking this way?
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Old 11-14-2008, 05:23 AM
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Smile You are right

Quote:
Originally Posted by fecoupefe View Post
I was under the impression that AA had to be the same numbers, i.e. 11 or 22

and likewise with BB and CC

.. am I wrong in thinking this way?
No you are not
you must have noticed
00,11,22,33,44...99
are all multiples of 11
so
I took 11 common from
AA+BB+CC
which gave
(A+B+C) x 11 = ....
and i tried it further
since there was no restriction given on
A, B,C
So I took 0 for each one of them
and it proved the result that's on my earlier post
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Old 11-14-2008, 05:34 AM
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Smile You are right

I cant find any oter soln trivial way.....(I am editing this post later on)
anyway I am Ada"""r"""sh
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Last edited by ADARSH; 11-25-2008 at 11:57 PM.
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Old 11-14-2008, 09:07 AM
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Default Adash - One of the secretary's at my job solved it..

the answer is

99
11
88

which equals 198.
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