SOLUTION: Two different 3-digit numbers contains the same digits. These digits are consecutive digits. What is the greatest difference possible between the two numbers? The answers to c

Question 783453: Two different 3-digit numbers contains the same digits. These digits are consecutive digits. What is the greatest difference possible between the two numbers?
The answers to choose from.
A. 199
B.197
C. 200
D. 198
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let the digits be
, and
The largest possible number is
the one with the largest digit () in the hundreds place,
the smaller digit () in the ones place,
and the intermediate digit () in the tens place.
Its value is

To get the smallest possible number we reverse the order,
placing in the hundreds place,
in the tens place, and in the ones place.
The value of that samllest number is

The difference is

EXAMPLE:
With the digits 5, 6, and 7,
the largest number we can make is 765;
the smallest is 567,
and the difference is
765 - 567 = 198
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