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Q. Eleven batsmen score runs as follows:i. The first five players together score 4 times the total score of the remaining players,ii. The first six players together score 5 times the total score of the remaining playersandiii. The average score of all eleven players is 30.Find the score of sixth batsmanplease let me know the answer of this Q |
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Answer» 1 )Given Number of players = 11, Average score of 11 players = 30 Sum of the SCORES of 11 players = 11× 30 = 330 ---(1) 2 ) Let sum of the first 5 players score = x sum of the remaining 6 players score = y /* According to the problem given */ x = 4y ----(2) Total score = 330 [ From (1) ] => x + y = 330 ---(3) => 4y + y = 330 [ From ( 2) ] => 5y = 330 => y = 66 ---(4) /* Put y = 66 in equation (3), we get */ x + 66 = 330 => x = 330 - 66 => x = 264 --(5) 3) Let Score of 6th batsman = K x + k = 5(y-k) => x + k = 5y - 5k => 6k = 5y - x => 6k = 5×66 - 264 [From (4) and (5) ] => 6k = 330 - 264 => 6k = 66 => k = 11 Therefore., •••♪ |
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