WED + TAB + PIN = X j k Y
DEW + BAT + NIP = Y k j X
..... when considered concurrently have 864 solutions.
In the totals X=1 and Y=2 or X=2 and Y=1, and j and k are distinct integers represented in the set of variables.
Why can X and Y never equate to W, T, P, D, B or N? The digits 0-9 are all available but there are no leading zeroes.