Boy at School
A boy wrote an integer on the whiteboard, then he erased the first and last digits of the integer. The original integer is 2019 times the resulting integer.
If we know that the first and second digits of the original integer are not 0, find the number of possible original integers.
The answer is 0.
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1 solution
Since the first and second digits of the original integer are not 0 , and the first and last digits are erased, the original integer must be exactly 2 digits more than the resulting integer. However, since the original integer is more than 1 0 0 0 times the resulting digit, the original digit must be at least 3 digits more than the original integer. Therefore, there are 0 possible original integers that fit the given criteria.