The digits of F are all the same.
The sum of all the digits of F is 12.
The answer when any two of the digits are multiplied together is also 9.
F is a four-digit number.

How do I figure this out

Question

The digits of F are all the same.
The sum of all the digits of F is 12.
The answer when any two of the digits are multiplied together is also 9.
F is a four-digit number.

How do I figure this out

whpalmer4 · Answer

Well, you know that all of the digits are the same.  And you know that the sum of the digits is 12.  What does that imply about the value of those digits?

whpalmer4 · Answer

And that there are 4 of those digits

anonymous · Answer

ok

anonymous · Answer

so the numbers are all 3

anonymous · Answer

thank you for your help

whpalmer4 · Answer

Yes, let's check:

3+3+3+3 = 12 "all the digits are the same, and add to 12"
3*3 = 9 "any two digits multiply to 9"
3333 "4-digit number, all digits the same"

all conditions are satisfied, must be a winner!