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In an English exam, 30 marks are allocated to the listening component, 30 marks to the reading component and 40 marks to the writing task. These three scores are then added together to give an overall score in English.

In this term's exam, Jeff got a higher overall score than Samuel.

Jeff: "If Samuel got full marks in writing and I got full marks in reading, I must have gotten a higher mark in listening".

Samuel: "If we both got full marks in listening, and I got a full mark in reading, Jeff must have gotten higher than me in writing."

If the information in the box is true, whose reasoning is correct?