Final answer:
After setting up and solving the two equations based on the given conditions, we find that the two-digit number is 12.
Step-by-step explanation:
This is a problem about the ratio of a two-digit number to the sum of its digits. The two-digit number is AB (where A is the tens place and B is the units place).
The question states that the ratio of the number to the sum of its digits is 4:f. So, we have the equation AB/(A+B) = 4/f.
Also, it's mentioned that the digit in the tens place (A) is 3 less than the digit in the units place (B). This gives us the second equation B = A + 3.
We now solve these two equations together to find that the two-digit number is 12.
Learn more about Two-Digit Numbers and Ratios