A cricket player's average score increases by 2 if the first 15 innings are not considered, and decreases by 2 if the last 15 innings are not considered. What is the number of
innings the cricketer has played if his average scores for the first 15 and the last 15 innings are 17 and 25, respectively…

Question

A cricket player's average score increases by 2 if the first 15 innings are not considered, and decreases by 2 if the last 15 innings are not considered. What is the number of
innings the cricketer has played if his average scores for the first 15 and the last 15 innings are 17 and 25, respectively?
42
43
44
A cricket player's average score increases by 2 if the first 15 innings are not considered, and decreases by 2 if the last 15 innings are not considered. What is the number of
innings the cricketer has played if his average scores for the first 15 and the last 15 innings are 17 and 25, respectively?

Akarsha Mandala · Answer

Hi Kavya Agnihotri,
There are first 15 innings and last 15 innings. Let the number of remaining innings be 'T'
15, T, 15
Average score for the first 15 innings is 17
Average score for the last 15 innings is 25
Let the average score of T innings be 'X'
It is given,
XT+15(25)/15+T = A + 2 ....... (1)
15(17)+XT/15+T = A - 2 ....... (2)
Equating A in both the equations, we get
15(17) + XT + 30 + 2T = XT + 15(25) - 30 - 2T
4T = 60
T = 15
Total number of innings = 15+15+15 = 45
Hope this helps!

kavya agnihotri · Answer

Thank you I don't know why it was getting very complex to solve

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