Question
In an examination, the marks obtained by Arun and Akram
are in the ratio of 2:3. Arun’s score is 26 marks below the passing threshold, while Akram’s score exceeds the passing mark by 16. Additionally, Arjun scored 46 marks above the passing mark in the same examination. Determine the ratio of Arjun’s marks to Arun’s marks.Solution
Let the pass marks be 'x' Then, marks scored by Arun = (x - 26) Marks scored by Akram = (x + 16) According to the question, (x - 26):(x + 16) = 2:3 Or, 3x - 78 = 2x + 32 Or, x = 110 Marks scored by Arjun = 110 + 46 = 156 Marks scored by Arun = 110 - 26 = 84 So, required ratio = 156:84 = 13:7
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