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There are 4 consecutive even integers that sum to 68. What are the integers?

User Pyttroll
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1 Answer

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Hi there,

  • Let x be the first number.
  • Then the next three even numbers are x+2, x+4, and x+6.
  • The sum of these numbers is 68

So,

  • x + (x + 2) + (x + 4) + (x + 6) = 68

Simplify and solve for x.

  • 4x + 12 = 68
  • 4x = 68 - 12
  • x = 56/4
  • x = 14

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

What are consecutive integers?

  • Consecutive integers are integers that follow each other in order.
User Simonp
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