PreAlgebra 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.

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 integer be x. Then the three consecutive integers can be represented as x, x+1, and x+2.

Let the first even integer be x. Then the three consecutive even integers can be represented as x, x+2, and x+4.

If the first integer is x, the equation is x + (x + 1) = sum.

If the first integer is x, the equation is x + (x + 1) + (x + 2) = sum.

If the first even integer is x, the equation is x + (x + 2) + (x + 4) = sum.

Translate the word problem into an algebraic equation and solve for the unknown variable.

It means you need to add the largest integer to five times the smallest integer and set it equal to a given value.

Let the first integer be x. The second integer is x + 1. Set up the equation x + (x + 1) = sum and solve for x.