1. Original Statement: The sum of three consecutive odd numbers is 1359.
  2. Identify the Unknowns: Let’s call the first odd number x. The next consecutive odd number will be x + 2. The third consecutive odd number will be x + 4.
  3. Translate the Statement into an Equation: The sum of the three consecutive odd numbers is 1359, so the equation is x + (x + 2) + (x + 4) = 1359.
  4. Solve the Equation:
    • First, combine like terms: 3x + 6 = 1359.
    • Next, subtract 6 from both sides: 3x = 1353.
    • Finally, divide both sides by 3: x = 451.
  5. Find the Other Numbers:
    • The first number is x, which is 451.
    • The second number is x + 2, which is 453.
    • The third number is x + 4, which is 455.
  6. Final Result: The three consecutive odd numbers are 451, 453, and 455.

assignment 7, question 4

Find3ConsecutiveOddNumbersWhoseSumIs1359