# Alphametics Question

In the figure below, each distinct letter represents a unique digit such that the arithmetic sum holds. If the letter L represents 9, what is the digit represented by the letter T?

     TERRIBLE
+    NUMBER
==========
THIRTEEN


I know I can get the answer for this puzzle but I'm struggling to see how to solve it. Can anyone help? Thanks.

• You are definetely correct; but look at this: $?5881295 + 30?258 = ?618?553$ The addition cannot hold, since $?$ can be only $4$ or $7$ Jun 3 '14 at 19:28