Integer Problems

These are similar to Number problems, however the numbers are expected to be integers. The most common types of integer problems are the consecutive class of integers. There are three such classes that are commonly found in Algebra courses. These are:

· Consecutive Integers - Most commonly, these involve 2 or 3 Consecutive Integers

· Two Consecutive Integer Problems

· The difference between the integers is 1.

· The variables are usually named First (F) and Second (S)

· This results in the equation: S=F+1

· Example of Two Consecutive Integers problem

· Three Consecutive Integers Problems

· The difference between the integers is 1.

· The variables are usually named First (F), Second (S), and Third (T)

· This results in the equations: S=F+1 and T=F+2

· Example of Three Consecutive Integers problem

Note:

Consecutive Odd Integer Problems and

Consecutive Even Integer Problems

are solved in exactly the same manner.

· Consecutive Odd Integers - Most commonly, these involve 2 or 3 Consecutive Integers

· Two Consecutive Odd Integers Problems

· The difference between the integers is 2.

· The variables are usually named First (F) and Second (S)

· This results in the equation: S=F+2

· Example of Two Consecutive Odd Integers Problem

· Three Consecutive Odd Integers Problems

· The difference between the integers is 1.

· The variables are usually named First (F), Second (S), and Third (T)

· This results in the equations: S=F+2 and T=F+4

· Example of Three Consecutive Odd Integers Problem

· Consecutive Even Integers - Most commonly, these involve 2 or 3 Consecutive Even Integers

· Two Consecutive Even Integers Problems

· The difference between the integers is 2.

· The variables are usually named First (F) and Second (S)

· This results in the equation: S=F+2

· Example of Two Consecutive Even Integers Problem

· Three Consecutive Even Integers Problems

· The difference between the integers is 1.

· The variables are usually named First (F), Second (S), and Third (T)

· This results in the equations: S=F+2 and T=F+4

· Example of Three Consecutive Even Integers Problem