The sum of three consecutive even number is 72 fine the number

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. Define the variables.

    Let the first even number be x.
    Since the numbers are consecutive even numbers, the next even number will be x + 2.
    The third consecutive even number will be x + 4.

  2. Set up the equation.

    The sum of these three numbers is 72.
    x + (x + 2) + (x + 4) = 72

  3. Solve the equation for x.

    Combine like terms:
    3x + 6 = 72
    Subtract 6 from both sides:
    3x = 72 - 6
    3x = 66
    Divide by 3:
    x = 66 / 3
    x = 22

  4. Find the three consecutive even numbers.

    First number: x = 22
    Second number: x + 2 = 22 + 2 = 24
    Third number: x + 4 = 22 + 4 = 26

    The three consecutive even numbers are 22, 24, and 26.

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