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MathNet 2022-part-03 — 197 problems (EN–VI) Question 163

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 163

Five distinct positive integers are in a sequence ordered from small to large. The middle number is $20$. The difference between the smallest two numbers equals the difference between the largest two numbers. The fourth number is four times as large as the first number, and the fifth number is twice as large as the second number.
When you add all five numbers, what is the outcome?
A) $84$ B) $90$ C) $104$ D) $110$ E) $130$