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11 February, 19:45

Three consecutive even numbers have a sum of 66.

What is the least number?

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Answers (2)
  1. 11 February, 20:08
    0
    Let the least number = n

    Since they are consecutive even numbers, they must be two numbers apart each; (n+2) and (n+4) are the second and third consecutive numbers, respectively.

    Now we must add them together, and set the equation equal to 66.

    n + (n+2) + (n+4) = 66

    Simplify this to be: 3n + 6 = 66

    66-6 = 3n

    60 = 3n

    n = 20

    This means that the least number is 20, the second number is 22, and the third number is 24.
  2. 11 February, 20:12
    0
    If the three numbers were all equal, each one would be 1/3 of 66.

    That's 22, so the numbers would be 22, 22, and 22.

    If you simply take 2 away from the first number and add it to

    the last one, then their sum doesn't change, but now you have

    20, 22, and 24.
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