- Original Statement: The sum of three consecutive odd numbers is 1359.
- 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.
- 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.
- 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.
- 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.
- Final Result: The three consecutive odd numbers are 451, 453, and 455.
assignment 7, question 4