Word Problems: Consecutive Integers
Objective: To solve a variety of word problems involving consecutive integers
What is a consecutive integer?
How can we write consecutive odd integers and consecutive even integers?
Use an equation to solve the following examples:
Tips to remember before tackling word problems involving consecutive integers!
1. Determine what is needed (consecutive, consecutive odd, consecutive even)?
2. Label the consecutive integers.
3. Look for KEY WORDS!
4. Set up an equation.
5. After solving, find the integers.
Work all problems in the space provided
1. Find two consecutive integers whose sum is 45.
2. Find three consecutive even integers whose sum is 72.
3. Find two consecutive odd integers whose sum is –88.
4. Find four consecutive odd integers whose sum is 56.
5. Find two consecutive even integers such that the sum of the larger and twice the smaller
is 62.
6. Find three consecutive integers such that the sum of twice the smallest and 3 times the
largest is 126.
7. The second of two numbers is 5 more than twice the first. Their sum is 80. Find the
numbers.
8. The perimeter of a triangle is 51 centimeters. The lengths of its sides are consecutive odd
integers. Find the lengths of all three sides.
HOMEWORK:
9. Five times the second of three consecutive even integers is six more than twice the sum
of the first and third integers. Find the middle even integer.
10. Three times the second of three consecutive even integers is twelve less than twice
the sum of the first and third integers. Find the largest even integer.
11. Five times the second of three consecutive odd integers is thirteen less than three
times the sum of the first and third integers. Find the largest odd integer.
12. The sum of three consecutive even integers is negative forty-eight. Find the smallest
integer.
13. Find two consecutive even integers such that five times the first equals ten more than
three times the second.
14. Five times the first of three consecutive even integers is four less than three times the
third integer. Find the smallest even integer.
15. Four times the smallest of three consecutive integers is three more than three times
the largest. Find the middle integer.
16. Find two consecutive integers such that 3 times the larger exceeds twice the smaller
by 34.
17. Find three consecutive integers such that the sum of the first and second is 31 less
than 3 times the third.