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BEBRAS 2017 Grade 9-10 Round 2 Ext Question 3

BEBRAS · BEBRAS 2017 Grade 9-10 Round 2 Ext

Question 3

Alice and Bob discover that Eve is trying to read their messages.

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They use letter values A=1, B=2, …, Z=26, shown below.

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They send one number and four candidate messages, exactly one genuine and three fake. The number is the sum of the letter values in the genuine message; spaces do not contribute. For example, I WANT TO has sum 9+23+1+14+20+20+15=102.

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Which message is intended for Bob if the number is 76?
  1. GOODBYE
  2. LOVE YOU
  3. WELCOME
  4. MEET NOW