Download consecutive integers. Starting with 5, the next four

Consecutive Integer Problems
If you start with any given integer and count by ones, you will get
consecutive integers. Starting with 5, the next four consecutive
integers are 6, 7, 8, and 9.
Examples:
Ex: Two consecutive integers have a sum of 77. Find the integers.
2.) The sum of three consecutive integers is 234. What are the
numbers?
1) Variable
Let n = the first integer
Let n + 1 = the second integer
(by definition of the word consecutive the numbers must be one apart)
2) Words
first integer + second integer = sum
3) Equation
n   n  1  77
4) Solve
2 n  1  77
2n  1  1  77  1
2n  76
2n 76

2
2
n  38
5) Solution:
Let n = the first integer
Let n + 2 = the second integer
(even or odd consecutive integers would always be two apart ex: 3, 5, 7 or 2, 4, 6.)
2) Words
first integer + second integer = sum
3) Equation
n   n  2   92
4) Solve
5) Solution:
3.) Find two consecutive odd integers whose sum is -68.
4.) Find three consecutive integers such that sum of the first
and third is 22.
5.) Find three consecutive odd integers whose sum is 243.
The numbers are 38 and 39.
Ex. (Even or Odd): Two consecutive odd integers have a sum of 92. Find the
integers.
1) Variable
1.) The sum of two consecutive integers is 243. What are the
two integers?
2n  2  92
2n  2  2  92  2
2n  90
2n 90

2
2
n  45
The numbers are 45 and 47.
6.) The sum of two consecutive integers is 345. What are the
two integers?
7.) The sum of two numbers is 151. The second number is one
more than twice the first number. What are the two
numbers?
8.) There are three numbers. The first is twice as big as the
second, and the second is twice as big as the third. The total
of the numbers is 161. What is the smallest of the numbers?
9.)
The sum of two consecutive odd integers is 172. What
are the two integers?
10.) The sum of two consecutive even integers is 446. What
are the two integers?