Multiplication
2-7Problem Solving: Consecutive Integers
Overview
Consecutive integers: n, n+1, n+2, … Consecutive even or odd: n, n+2, n+4, …
Key ideas
- Let the smallest be n.
- Express the others in terms of n.
- Write an equation from the problem statement.
Worked examples
Example 1
Problem. Three consecutive integers sum to 36.
Solution. n + (n+1) + (n+2) = 36 → 3n + 3 = 36 → n = 11. Integers: 11, 12, 13.
Practice
Try each one. Click Show answer when ready.
- 1.
Two consecutive integers sum to 49.
- 2.
Three consecutive even integers sum to 54.
- 3.
Two consecutive odd integers sum to 36.
Challenge problems
A little tougher — great for test prep. Click Show answer when ready.
- 1.
Find three consecutive odd integers whose sum is 63.
- 2.
The sum of four consecutive integers is 114. Find the integers.