replace each star with a digit to make the problem true.Is there only one answer to each problem? ****-***=2

Answer: We discover two outcomes:

1000 - 998 = 2

1001 - 999 = 2

Step-by-step explanation:

The problem can be stated as:

****-*** = 2

Where each asterisk symbolizes a distinct digit; here with a 4-digit number subtracting a 3-digit number to yield a difference of 2.

This can be represented as 99*, where we can increase any digit from 1 to 9 and we will achieve a 4-digit result:

So we rewrite it this way:

1000 - 998 = 2

When we add one to each side, the difference remains preserved, maintaining equal digit counts:[

1000 - 998 + 1 - 1 = 2

(1000 + 1) - (998 + 1) = 2

Thus, 1001 - 999 = 2

A simple case would also yield further solutions where digits can be zeros, for instance:

0004 - 0002 = 2

However, this trivial solution may be disregarded. This leads us to conclude that we have two unique solutions.