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The sum of a series of 5 consecutive odd numbers is 225 The second number of this series is 15 less than the second lowest number of anothe…

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The sum of a series of 5 consecutive odd numbers is 225 The second number of this series is 15 less than the second lowest number of another series of 5 consecutive ever numbers. What is 60% of the highest number of this series of consecutive even numbers -
  • A36.0
  • B34.6
  • C38.4
  • D40.8
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Solution
Let the five consecutive odd numbers in increasing order = $(x-4) , (x-2) , (x) , (x+2) , (x+4)$
Sum of these numbers = $(x-4) + (x-2) + (x) + (x+2) + (x+4) = 225$
=> $5x = 225$
=> $x = \frac{225}{5} = 45$
Thus, the odd numbers are = 41 , 43 , 45 , 47 , 49
Let another series of even numbers in increasing order = $(y-4) , (y-2) , (y) , (y+2) , (y+4)$
Also, $43 = (y - 2) - 15$
=> $y = 43 + 15 + 2 = 60$
Thus, highest number of the even series = 60 + 4 = 64
$\therefore$ 60% of 64 = $\frac{60}{100} \times 64 = 38.4$