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:
Answer & explanation
Correct answer: option 2
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