I came across this problem today and couldn't figure out a way to work it out in a cogent manner. Also, if anyone knows what type of algebra this is conceptually so I can look up similar problems more accurately in the future, that would be awesome. Here's the question:
A four-digit integer, $WXYZ$, in which $W$, $X$, $Y$, and $Z$ each represent a different digit, is formed according to the following rules: $$X = W + Y + Z$$ $$W = Y + 1$$ $$Z = W - 5$$
What is the four digit integer?
Thanks in advance!