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The average of 5 consecutive numbers is 18. If next 2 numbers are also included, then what will be the new average?1). 18.52). 193). 19.54). 20 |
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Answer» Let the 5 consecutive number be (x - 2), (x - 1), (x), (x + 1), (x + 2) The SUM of above consecutive number = 5x ⇒ Average of numbers = 18 ⇒ The sum of consecutive number/5 = 18 ⇒ 5x/5 = 18 ⇒ x = 18 If 2 more numbers are INCLUDED, we get The numbers are (x - 2), (x - 1), (x), (x + 1), (x + 2), (x + 3), (x + 4) ⇒ Sum = 7X + 7 Average = 7(x + 1)/7 = x + 1 = 18 + 1 = 19. |
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