Finding the value of c in a subtraction problem with variables

To find the difference between ba and ab, where a and b are digits, we analyze the units and hundreds digits, leading to the conclusion that the hundreds digit of the difference is 3.

Answer

Since

is less than

, we need to borrow from the hundreds digit of

to subtract the units digits. This means the units digit of

is equal to

. Since this digit is 6, we have the equation:

Solving for

, we get:

Now, consider the hundreds digit. After borrowing, the hundreds digit of

is effectively

. Since the hundreds digit of the difference is

, we have:

Substituting

, we get:

Simplifying, we find:

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