\left.\begin{array}{l}{[\text { Decimal numeral system }]} \\ {[\text { Case enumeration }}\end{array}\right]

One three-digit number consists of different digits in ascending order, and all words in its name start with the same letter. Another three-digit number, on the contrary, consists of identical digits, but all words in its name start with different letters. What are these numbers?
Notice, "the numbers are equal" and "the numbers start with the same letter" are two completely different statements.

## Solution

These numbers are 147 and 111, respectively. The problem is solved by simply enumerating the options, of which there are not so many.

## Answer

147 and 111.