motion2020 wrote:
The following addition operation shows the sum of the two-digit positive integers XY and YX. If X, Y, and Z are different digits, what is the value of the integer Z?
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(A) 8
(B) 7
(C) 2
(D) 1
(E) 0
The two digit positive numbers can be written as 10X + Y and 10Y + X, so the addition will result in 11(X + Y). Since the result is divisible by 11. Then for any number divisible by 11, from the result (x + Z - X) should be divisible by 11. which means, the z =0, the only option.
Answer is E) 0