Math Problem Statement

The total of three consecutive numbers is 2694.

What are the numbers, in ascending order?

Solution

Let the three consecutive numbers be xx, x+1x+1, and x+2x+2.

The sum of these three numbers can be written as:

x+(x+1)+(x+2)=2694x + (x+1) + (x+2) = 2694

Simplifying the left side:

3x+3=26943x + 3 = 2694

Subtract 3 from both sides:

3x=26913x = 2691

Now, divide by 3:

x=897x = 897

So, the three consecutive numbers are 897897, 898898, and 899899.

In ascending order, the numbers are 897, 898, 899.

Would you like more details or have any questions?

Here are 5 related questions for you:

  1. What would be the three consecutive numbers if their sum was 3000?
  2. How do you find the sum of four consecutive numbers?
  3. What are the consecutive numbers if the sum of the first and last is 200?
  4. How do you find the middle number of three consecutive numbers given their sum?
  5. Can you derive a formula to find the sum of nn consecutive numbers starting from xx?

Tip: To find consecutive numbers, always set the middle one as the average of the sum divided by the count.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Equations

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8