# Sunday Times Teaser 2875 – Easy as ABC

*by Graham Smithers*

#### Published October 29 2017 (link)

I have ten cards and on each is one of the letters **A, B, C, E, L, N, T, V, W** and **Y**. On the back of each card is a different digit.

The digits on **T, E, N** add to 10. The digits on **T, W, E, L, V, E** add to 12.

The digits on **T, W, E, N, T, Y** add to 20.

The digits on **A, B, C** add to ….

If I told you that last total, then you should be able to answer the following question:

What are the digits on **T, E** and **N** respectively?

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This can also be solved using constraint programming. Here is a solution using Google’s Python interface to their Operational Research Tools: