Rahul played well in this season. his current batting average is 5. if he score 78 runs in today's matchhis batting average became 54. how many matches had he played in this season? a)8 b)10 c)9 d)6
Answers
Answered by
1
x = current bating average of rahul = 50
let the number of match played by rahul is "n"
Total runs scored by rahul in current season is then given as
Total run in current season = current batting average x number of match
TR₁ = x n
TR₁ = 50 n eq-1
Total run scored after playing one more match
TR₂ = TR₁ + 78
using eq-1
TR₂ = 50 n + 78 eq-2
new batting average is then given as
new batting average = new total runs scored/ new total number of match
54 = TR₂ /(n + 1)
using eq-2
54 = (50 n + 78)/(n + 1)
cross-multiplying
54 (n + 1) = 50 n + 78
54 n + 54 = 50 n + 78
54 n - 50 n = 78 - 54
4 n = 24
dividing both side by "4"
4n/4 = 24/4
n = 6
Answered by
0
Answer:
answer is 9
Step-by-step explanation:
Similar questions