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let A = xxx , and B = yy

The one clear conclusion is that y>x.
Why? because if x>y or x=y, the hundreds digit of (A-B) will be equal to x, which is mentioned in the given to be invalid.

so x can't be equal 9 (and A can't be equal 999) because there will be no valid value for y which makes it more than x
C
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sjuniv32
Integer A is a three-digit integer in which all the three digits are the same. Integer B is a two-digit integer in which both digits are the same, but A and B have no digits in common. If the difference of A - B produces an integer in which none of the digits match any of the digits A or B, which of the following cannot be the value of A?

(A) 666

(B) 444

(C) 999

(D) 777

(E) 555

Posted from my mobile device



Hello, can anyone help me?
Why the option (D) can’t be the answer as well?
There are 2 possible ways to get the number less than 700 (so that the first digit could be different from 7): 777-99 and 777-88
But I have one problem:
777-99=678
777-88=689

In both examples some digits in the answer are the same as in either the integer A or the integer B.

So, why isn’t D the answer?
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