Name: ____________________________________
Word Problems – Consecutive Integer Problems
1
List the next three consecutive integers.
6
Date: __________
Algebra I Common Core
Sheet #04-03
The sum of two consecutive odd integers is 112.
Find the integers.
[Only an algebraic solution can receive full credit.]
27, ___________, ___________, ___________
-27, ___________, ___________, ___________
x, ___________, ___________, ___________
x + 3, ___________, ___________, ___________
x - 3, ___________, ___________, ___________
2
List the next three consecutive even integers.
26, ___________, ___________, ___________
7
The sum of three consecutive integers is 342. Find
the middle number.
[Only an algebraic solution can receive full credit.]
-26, ___________, ___________, ___________
x, ___________, ___________, ___________
x + 3, ___________, ___________, ___________
x - 3, ___________, ___________, ___________
3
List the next three consecutive odd integers.
27, ___________, ___________, ___________
-27, ___________, ___________, ___________
8
x, ___________, ___________, ___________
The sum of the ages of three Hayes cousins is 63.
If their ages can be represented as consecutive
integers, what is the age of the oldest cousin?
[Only an algebraic solution can receive full credit.]
x + 3, ___________, ___________, ___________
x - 3, ___________, ___________, ___________
4
5
Julie has three children whose ages are
consecutive odd integers. If x represents the
youngest child’s age, which expression represents
the sum of her children’s ages?
(1) 3𝑥 + 3
(2)
3𝑥 + 4
(3)
3𝑥 + 5
(4)
3𝑥 + 6
The sum of three consecutive integers is 279. Find
the integers.
[Only an algebraic solution can receive full credit.]
9
Find two consecutive integers such that four times
the larger exceeds triple the smaller by 23.
[Only an algebraic solution can receive full credit.]
10
The sum of three consecutive odd integers is 18
less than five times the middle number. Find the
three integers.
13
[Only an algebraic solution can receive full credit.]
[Only an algebraic solution can receive full credit.]
11
Find three consecutive odd integers such that the
sum of the first and second is 27 less than 3 times
the third.
14
The ages of three brothers are consecutive even
integers. Three times the age of the youngest
brother exceeds the oldest brother’s age by 48
years. What is the age of the youngest brother?
[Only an algebraic solution can receive full credit.]
Find three consecutive integers such that the sum
of the first and third is 22 less than three times the
second.
[Only an algebraic solution can receive full credit.]
[Only an algebraic solution can receive full credit.]
12
Find three consecutive odd integers such that the
sum of the smallest integer and triple the second
is 5 more than the third.
15
Find three consecutive even integers such that
twice the sum of the second and third exceeds 3
times the first by 34.
[Only an algebraic solution can receive full credit.]