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The sum of six consecutive even integers is 294. What is the smallest of the six integers?

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Answer:

44

Step-by-step explanation:

x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 294
Combine all like terms for x and integers
6x + 30 = 294

Minus 30 on both sides
6x = 264
Divide by 6
x = 44

Answer:

  • 44

Step-by-step explanation:

Let's name the 6 consecutive terms as

  • x, x + 2, x + 4, x + 6, x + 8 + x + 10

We know that:

  • x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 294

Solution:

  • x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 294
  • => 6x + 30 = 294
  • => 6x = 294 - 30
  • => 6x = 264
  • => x = 264/6
  • => x = 44

Hence, the smallest number among the six consecutive numbers is 44.

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