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Let’s assume that initial number of students be x. ∴ Number of toffees given to x students = 9x After the arrival of teacher and headmaster, total toffees distributed = 9x + 16 + 22 = 9x + 38 Now, the average becomes 11.5, ∴ 9x + 38 = 11.5 × (x + 2) ⇒ 9x + 38 = 11.5x + 23 ⇒ x = 6 ∴ The number of students among whom the toffees were distributed is 6.
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