The batting average of 40 innings of a cricket player is 140 runs. His highest score exceeds his lowest score by 170 runs. If these two innings are excluded, the average of the remaining 38 innings is 136. His lowest score was:
Total runs scored by player = 140 × 40 = 5600
Let the highest score be x
His lowest score = x - 170
Total runs scored in the remaining 38 matches = 136 × 38 = 5168
Highest + lowest score = 5600 - 5168
x + (x – 170) = 432
x = 301
Lowest score = 301 – 170 = 131