The batting average of a particular batsman is 61 runs in 46 innings.
The batting average of a particular batsman is 61 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Answer/Solution
202
Steps/Work
Explanation:
Total runs scored by the batsman = 61*46 = 2806 runs
Now excluding the two innings the runs scored = 58*44 = 2552 runs
Hence the runs scored in the two innings = 2806 – 2552 = 254 runs.
Let the highest score be x, hence the lowest score = x – 150
x + (x - 150) = 254
2x = 404
x = 202 runs
ANSWER B
Total runs scored by the batsman = 61*46 = 2806 runs
Now excluding the two innings the runs scored = 58*44 = 2552 runs
Hence the runs scored in the two innings = 2806 – 2552 = 254 runs.
Let the highest score be x, hence the lowest score = x – 150
x + (x - 150) = 254
2x = 404
x = 202 runs
ANSWER B