The average score of 40 students is 65. If the highest and lowest scores (which differ by 50) are excluded, the average of the remaining 38 students is 64. What is the highest score?

Explanation

Sum of 40 students = 40 * 65 = 2600. Sum of 38 students = 38 * 64 = 2432. Sum of highest (H) and lowest (L) = 2600 – 2432 = 168. Given H – L = 50. Adding both equations gives 2H = 218 => H = 109.