Maths Olympiad Prep

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Algebra Difficulty 5.0 AIME Find the answer

In the alphametic WE×EYE=SCENEW E \times E Y E=S C E N E, each different letter stands for a different digit, and no word begins with a 0. The WW in this problem has the same value as the WW in problem 31. Find SS.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Problems 31-33 go together. See below.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.