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BrentGMATPrepNow
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jabhatta2
is this really 600 - 700 ? this is a top 750 level question if you ask me

Bunuel

The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question.




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Can anyone help with this question? This feels hard to me and I don't know how to solve it.
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BrentGMATPrepNow


In the correctly-performed addition above, each letter represents a different non-zero digit. What is the value of C?

A) 1
B) 2
C) 3
D) 4
E) 5

There's probably a more intuitive way, but the straightforward approach is to break down the sum:

So,

100A+10A+A+11B+C = 101B+10A or

111A+11B+C = 101B+10A, so


C = 90B-101A

The values for B and A need to yield a single digit result after the multiplication and subtraction and B>A.

The only digits that work are B=9 and A=8, which yield a difference of

2=C

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