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The average of six numbers is 20. If one number is removed, the average becomes 15. What is the number removed?1). 52). 353). 1124). 45 |
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Answer» Given, AVERAGE of 6 NUMBERS = 20 ∴ Sum of 6 numbers = Average × 6 = 20 × 6 = 120 Let, a number ‘X’ is removed. ∴ Sum of remaining 5 numbers = 120 – x Average of remaining 5 numbers = Sum of remaining 5 numbers/5 = (120 – x)/5 According to the question, Average of remaining 5 numbers = 15 ∴ (120 – x)/5 = 15 ⇒ 120 – x = 75 ⇒ x = 45 |
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