A total of 467 runs were scored by the Indian team. Dhoni, the captain of the Indian cricket team, scored 104 more than the average scored by the remaining ten batsmen of the team. So how many runs did Dhoni score?
Given: The total score of the Indian team is 467 runs. Dhoni scored 104 more than the average scored by the remaining ten batsmen of the team. Concept: Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged. Formula used: Average = Total sum of all numbers / Total numbers of an item Calculation: The total score of the Indian team is 467 runs. Let the average score of the remaining 10 players be x. Then total runs scored by 10 players ⇒ Average runs × number of players ⇒ x × 10 = 10x We know that Dhoni scored 104 more than the average scored by the remaining ten batsmen of the team. So, total runs scored by Dhoni ⇒ Average runs of 10 players + 104 ⇒ x + 104 Now total runs scored by team is ⇒ 10x + x + 104 ⇒ 11x + 104 But by question total runs scored by team = 467 Now we compare both results ⇒ 11x + 104 = 467 ⇒ 11x = 467 – 104 ⇒ 11x = 363 ⇒ x = 33 Now total runs scored by Dhoni ⇒ x + 104 ⇒ 33 + 104 = 137 ∴ total runs scored by Dhoni is 137.