A CRICKETER ALTOGETHER SCORES r RUNS IN x INNINGS .n TIMES NOT OUT.HIS AVERAGE a =r RUNS. EXPRESS n IN TERMS OF a,x,r. FIND THE NUMBER x-n TIMES HE WAS NOT OUT. 204 RUNS IN 15 INNINGS AVERAGE=17
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Total number of innings = x
number of times, he was not out = n
number of times, he was out = x - n
Total runs scored = r
Innings average = a
a = r / (x - n)
=> a ( x - n) = r
=> a x - r = a n
=> n = (a x - r) / a
Given a = 17 x = 15 r = 204
n = (17 * 15 - 204) / 17 = 3
Number of times not out = 3
number of times out = 12
number of times, he was not out = n
number of times, he was out = x - n
Total runs scored = r
Innings average = a
a = r / (x - n)
=> a ( x - n) = r
=> a x - r = a n
=> n = (a x - r) / a
Given a = 17 x = 15 r = 204
n = (17 * 15 - 204) / 17 = 3
Number of times not out = 3
number of times out = 12
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