# Consecutives

Pro Problems > Math > Algebra > Equations > Word Problems > Linear > Consecutive Integers## Consecutives

The sum of two consecutive integers is 31 less than three times the smaller integer. What is the smaller integer?

## Solution

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### Consecutive Integers

Two integers are *consecutive *if they follow one after the other. For example, 3 and 4 are consecutive integers, 12 and 13 are consecutive integers, and so forth.

Two consecutive integers add to 233. Find the integers.

### Consecutive Odd Integers

The sum of three consecutive odd integers is 105 more than twice the smallest number. What are the three numbers?

### Three Consecutive Integers

The sum of three consecutive integers is twenty-two more than twice the largest number. What are the three numbers?

### Consecutive Sum

The sum of three consecutive odd integers is 105. What is the smallest of the three integers?

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The sum of three consecutive odd integers is 36 more than the largest of the three numbers. What is the smallest of the three numbers?