Download Consecutive Integer Word Problems

Consecutive Integer Word Problems –Answer Key
Consecutive Integer: x, x + 1, x + 2, x + 3…………..
Consecutive Even Or Consecutive Odd integer Problem: x, x + 2, x + 4…………
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Two consecutive integers have a sum of 91. What are the two integers?
Let 1st number = x
2nd number = x + 1
x + (x + 1) = 91
2x + 1 = 91
2x = 90
x = 45
The 2 consecutive numbers are 45 and 46
What three consecutive integers have a sum of 21?
Let 1st number = x
2nd number = x + 1
3rd number = x + 2
x + (x + 1)+ (x+ 3) = 21
3x + 3 = 21
3x = 18
x=6
The 3 consecutive numbers are 6, 7, and 8.
What two consecutive even integers have a sum of -42?
Let 1st number = x
2nd number = x + 2
x + (x + 2) = -42
2x + 2 = -42
2x = -44
x = -22;
-22 + 2 = -20
The 2 consecutive even numbers are -22 and -20
Find two consecutive even integers such that six times the first equals five times the second.
Let 1st number = x
2nd number = x + 2
6x = 5(x +2)
6x = 5x +10
x = 10
The 2 consecutive even numbers are 10 and 12
Find three consecutive even integers such that the sum of twice the first and three times the third is
fourteen more than four times the second.
Let 1st number = x
2nd number = x + 2
3rd number = x + 4
2x + 3(x +4) = 4(x +2) + 14
2x +3x +12 = 4x + 8 +14
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5x + 12 = 4x + 22
x = 10
The 3 consecutive even numbers are 10, 12 and 14
Find two consecutive integers such that the larger is nine more than twice the smaller.
Let 1st number = x
2nd number = x + 1
2x + 9 = x + 1
x = -8;
-8 + 1 = -7
The consecutive numbers are -8 and -7.
Three sisters have ages that are consecutive odd integers. Find the ages if the sum of the age of the
youngest and three times the age of the oldest is five less than five times the middle sister’s age.
Let 1st sister’s age = x
2nd sister’s age = x + 2
3rd sister’s age = x + 4
x + 3(x + 4) = 5(x+ 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x=7
The sister’s ages are 7, 9 and 11
Find three consecutive odd integers such that eight more than the sum of the first two is equal to
eleven less than three times the third.
Let 1st number = x
2nd number = x + 2
3rd number = x + 4
(x) + (x+ 2) + 8 = 3(x + 4) -11
x + x + 2 + 8 = 3x + 12 -11
2x + 10 = 3x +1
x=9
The 3 consecutive odd numbers are 9, 11 and 12
The sum of the least and greatest of 3 consecutive integers is 60. What are the
values of the 3 integers?
Let 1st number = x
2nd number = x + 1
3rd number = x + 2
x + (x+ 3) = 60
2x + 3 = 60
2x = 57
X = 19
The 3 consecutive numbers are 19, 21 and 23
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