consecutive integer word problems

Consecutive integers are integers that follow each other in order, without any gaps. For example, 1, 2, 3, and 4 are consecutive integers.

Let the first integer be 'x'. The second consecutive integer can be represented as 'x + 1'.

The sum of two consecutive integers 'x' and 'x + 1' is 'x + (x + 1) = 2x + 1'.

Let the first integer be 'x'. The second is 'x + 1', and the third is 'x + 2'.

The sum of three consecutive integers 'x', 'x + 1', and 'x + 2' is 'x + (x + 1) + (x + 2) = 3x + 3'.

Consecutive even integers are even numbers that follow each other in order. For example, 2, 4, 6, and 8 are consecutive even integers.

Let the first even integer be 'x'. The second consecutive even integer can be represented as 'x + 2'.

The sum of three consecutive even integers 'x', 'x + 2', and 'x + 4' is 'x + (x + 2) + (x + 4) = 3x + 6'.

Let the first integer be 'x'. Then, the integers are 'x', 'x + 1', and 'x + 2'. Set up the equation: x + (x + 1) + (x + 2) = 84.

In word problems, consecutive integers often relate to each other through addition, subtraction, or multiplication, forming equations to solve.