2002 AIME II Problems/Problem 1
Problem
Given that
&(2)& \text{y is the number formed by reversing the digits of x; and}\\&(3)& z=|x-y|. \end{eqnarray*}$ (Error compiling LaTeX. Unknown error_msg)
How many distinct values of are possible?
Solution
We express the numbers as and
. From this, we have
Because and
are digits, and
is between 1 and 9, there are
possible values.
See also
2002 AIME II (Problems • Answer Key • Resources) | ||
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Followed by Problem 2 | |
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