ANSWERS: 2
  • x+(x+2)+(x+4)=54. Solve for x. Hint, and the answer is not 18.
  • Here we have three consecutive even integers. Then the smallest of the three will have the value 2k for some integer k. The remaining two integers of the consecutive three will then have the values (2k + 2) and (2k + 4). Here we are also given that their sum is 54, so that 2k + (2k + 2) + (2k + 4) = 54 Solving for k: 6k + 6 = 54 6k = 48 k = 8 Therefore, the first even number is 2k = 2(8) = 16, and therefore, the remaining numbers are 18 and 20. And yes, 16 + 18 + 20 = 34 + 20 = 54 Answer: The first consecutive integer is 16.

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