The sum of five consecutive even numbers of s | vedclass

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Question

(D) Let the five consecutive even numbers of set-$A$ be $x, x+2, x+4, x+6,$ and $x+8$.According to the question,their sum is $220$:$x + (x+2) + (x+4)

Vedclass · Accepted Answer

$220$

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(D) Let the five consecutive even numbers of set-$A$ be $x, x+2, x+4, x+6,$ and $x+8$.According to the question,their sum is $220$:$x + (x+2) + (x+4) + (x+6) + (x+8) = 220$$5x + 20 = 220$$5x = 200$$x = 40$.So,the lowest number of set-$A$ is $40$.Now,consider a different set of five consecutive numbers. Let the lowest number be $y$. The second lowest number is $y+1$.According to the problem,the second lowest number is $37$ less than double the lowest number of set-$A$:$y+1 = (2 	imes 40) - 37$$y+1 = 80 - 37 = 43$$y = 42$.The five consecutive numbers are $42, 43, 44, 45,$ and $46$.Their sum is $42 + 43 + 44 + 45 + 46 = 220$.

The sum of five consecutive even numbers of set-$A$ is $220$. What is the sum of a different set of five consecutive numbers whose second lowest number is $37$ less than double the lowest number of set-$A$?

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