The average of the marks of 30 boys is 88, and when the top two scores were excluded, the average marks reduced to 87.5. If the top two scores differ by 2, then the highest mark is:

92 96 94 90

96

Sum of marks of 30 boys = 88 x 30 = 2640 Sum of marks of 28 boys = 87.5 x 28 = 2450 Sum of marks of 2 boys = 2640 - 2450 = 190 Let higher marks be x, then lower marks be x - 2 ⇒ x + x - 2 = 190 ⇒ x = 96