Total score of 40 innings =40×50=2000 Total score of 38 innings =38×48=1824 Let the highest score be x and the lowest score be y. Sum of the highest and the lowest score =x+y=2000−1824 ⇒ x+y=176 ...(i) and by question, x−y=172 ...(ii) Solving(i) and (ii), we get x=174