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MathNet 2021 — Part 03 Question 29

Math Olympiad Vault · MathNet 2021 — Part 03

Question 29

For the integers $a$, $b$, $c$, and $d$ the difference between $a$ and $b$ equals $2$, the difference between $b$ and $c$ equals $3$, and the difference between $c$ and $d$ equals $4$. Which of the following values **cannot** be the difference between $a$ and $d$?
  1. $1$
  2. $3$
  3. $5$
  4. $7$
  5. $9$