# RAT Addition and Multiplication?

If RAT = (R+A+T) × R×A×T,then what is RAT?

Are there possibilities other than 000, 135, 144?

• This user is asking questions an ongoing contest! Please flag it for deletion. – ABcDexter Aug 17 '16 at 12:26
• @ABcDexter This post contains the policy regarding contest questions. If you can provide a link to a contest containing this question that meets the criteria in the meta post linked above, the post will be locked until the contest is complete. – GentlePurpleRain Aug 17 '16 at 17:38

## 1 Answer

The answer is:

No, there are no other solutions than the ones you found.

I got this by brute forcing it with this code:

Dim r As Integer
Dim a As Integer
Dim t As Integer
Dim rat As Integer

For r = 0 To 9
For a = 0 To 9
For t = 0 To 9
rat = r * 100 + a * 10 + t
If rat = (r + a + t) * r * a * t Then
Console.WriteLine(rat)
End If
Next
Next
Next

• Hey look at that! Someone actually uses Visual Basic for stuff! Take that Tucker! – Areeb Sep 7 '16 at 11:48