If one is added to the second digit of each number and one is subtracted from the third digit of each number and then if the first and third digits of each number are interchanged, then which number will be lowest?
Show Hint
To solve such problems, carefully apply the transformations to each number and then compare the results.
Let’s take the number 473.
- Adding 1 to the second digit (7) gives 8.
- Subtracting 1 from the third digit (3) gives 2.
- Now, swapping the first and third digits, we get 274.
Similarly, applying the same transformation to other numbers:
- 568 becomes 685.
- 382 becomes 283.
- 847 becomes 478.
Thus, 274 is the smallest number, corresponding to the original number 473.