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The average age of 11 cricket players is 25, if the age of coach is included, the average is increased to 27. Find the age of the coach (in years)?1. 502. 493. 564. 475. 35 |
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Answer» Correct Answer - Option 2 : 49 Given: Average age of 11 cricket players = 25 The average age of 11 cricket players after coach’s age is included = 27 Concept used: Average = (Total sum)/(Total numbers) Calculations: Let the age of coach be T Initially, the average age = 25 years Number of players = 11 Total of age for 11 players = 25 × 11 = 275 years According to the question, After adding the age of the coach, new average is obtained as: ⇒ (275 + T)/12 = 27 ⇒ 275 + T = 27 × 12 ⇒ 275 + T = 324 ⇒ T = 324 – 275 = 49 years ∴ The age of the coach is 49 years |
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