ABE+ACE+ADE=2012 What number represents which letter?

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ABE+ACE+ADE=2012 What number represents which letter?

Mathematics
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E = 4
it has infinitely many solution....
But every cryptogram has a unique solution right?

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Other answers:

no it's certainly don't have infinitely solutions
the set of numbers are not given ....
and letters can represent only 1 digit
so sorry..i got it...i thought we considered each as a single variable....
A=6 E=4 B+C+D=20 so you can choose any numbers e.g. B=2 C=9 D=9
or b=7, c=5, d=8
Thank you everyone :)
i am willing to bet you are making the assumption (though not stated) that different letters represent different numbers, so i would go with radar's answer
Unfortunately not, I'll take the A + B + C + D + E and then the answer is the number I need. :)
  • phi
assuming each letter represents a distinct digit, there are two triplets that satisfy the condition 634,684,694 and 654,674,684
so you should have stated at the beginning that you need to find A+B+C+D+E
No, why should I? Once I got help with the letters, it was not so hard to plus them together.
because it would be easier to solve it
No, it would not make any difference.
well i have solved it, so i can say that it would be easier :P
also there might be such problems that you can't get answers to all parts only sum of them so better post full question
  • phi
@97 I agree with Tomas, it is much easier to find the sum of A,B,C,D,E than to find all permutations. Why don't you try for yourself and see.
But I needed two responses, and the last one I could actually figure out myself.

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