the sum of three consecutive odd numbers is 369. what are the numbers?
Sum of four consecutive odd numbers is 80. Find numbers
To find the three consecutive odd numbers whose sum is 369, we can break down the problem into smaller steps.
Step 1: Let's assume the first odd number is "x".
Step 2: Since the numbers are consecutive, the second odd number would be "x + 2" (as odd numbers have a difference of 2).
Step 3: Similarly, the third odd number would be "x + 4".
Step 4: We know that the sum of these three numbers is 369. So, we can write the equation as:
x + (x + 2) + (x + 4) = 369.
Step 5: Simplify the equation:
3x + 6 = 369.
Step 6: Subtract 6 from both sides of the equation:
3x = 363.
Step 7: Divide both sides by 3 to solve for x:
x = 363 / 3 = 121.
Therefore, the first odd number is 121.
Step 8: Now, substitute the value of x back into the equation to find the other two numbers:
x + 2 = 121 + 2 = 123 (second odd number).
x + 4 = 121 + 4 = 125 (third odd number).
So, the three consecutive odd numbers whose sum is 369 are 121, 123, and 125.
369/3 = ?
Go from there.