bt1376 bt1376
  • 24-10-2018
  • Mathematics
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The sum of 5 consecutive even numbers is 310. What is the third number in this sequence?

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amr302003
amr302003 amr302003
  • 24-10-2018

58,60,62,64,66 equals 310 so the third number is 62

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altavistard
altavistard altavistard
  • 24-10-2018

Answer:

58, 60, 62, 64 and 66

Step-by-step explanation:

Let the first number be n.  Then the five consecutive even numbers are

n, n+2, n+4, n+6, n+8.  Adding these together and setting the sum equal to 310, we get 5n + 20 = 310.  Thus, 5n = 290, and n = 58.

The five consecutive numbers are 58, 60, 62, 64 and 66.

Answer Link

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