Question

Use the three steps to solve the problem. the sum of 3 consecutive integer numbers is 117. find the numbers. list your answers separated by a comma. 2x 3

Answer 1

To find three consecutive integers summing to 117, you identify the unknowns (consecutive integers), the knowns (sum of 117), and then create and solve an equation. Solving it, the consecutive integers are found to be 38, 39, and 40.

Step-by-step explanation:

To solve the problem of finding three consecutive integers whose sum is 117, we follow a systematic approach:

1. Identify the unknown. The unknowns are the three consecutive integers we are trying to find.
2. Identify the knowns. The known is the sum of these integers, which is 117.
3. Choose an equation, plug in the knowns, and solve for the unknown. The equation we can use is that the sum of the three consecutive integers (x, x+1, x+2) is equal to 117: x + (x + 1) + (x + 2) = 117.

Let's solve the equation:

• Combine like terms: 3x + 3 = 117
• Subtract 3 from both sides: 3x = 114
• Divide by 3: x = 38

Therefore, the consecutive integers are 38, 39, 40.