# Consecutive Sum

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

414 is the sum of a set of consecutive integers. If X is the smallest integer in the set, what is the largest possible value of X?

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.## Similar Problems

### Consecutive Sum

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

### Consecutives

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

### Three Consecutive Integers

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?