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MathNet 2022-part-03 — 197 problems (EN–VI) Question 182

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

Question 182

A group of islands consists of a large, a medium and a small island. The total area of the three islands together is $23$ km². The difference between the areas of the large island and the medium island turns out to be exactly $1$ km² more than the area of the small island.
How many km² is the area of the large island?
A) $10$ B) $11$ C) $12$ D) $13$ E) $14$