NC Math 1
Consecutive Integers
Write an equation and solve. Please show all work!!
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1. Determine two consecutive integers whose sum is 139.
2. The sum of two consecutive integers is 211. Determine the integers.
3. Determine three consecutive integers whose sum is −99.
4.
The sum of three consecutive integers is −171. Determine the largest of the three integers.
5. The sum of four consecutive integers is −130. Determine the smallest integer.
6. Determine three consecutive integers such that the sum of the second and third is −17.
7.
Determine two consecutive integers such that half the smaller plus three times the larger is −32.
8.
Determine three consecutive integers such that the sum of the first and second is nine more than
half of the third.
9. The sum of two consecutive even integers is 114. Determine the integers.
10. Determine two consecutive odd integers whose sum is –36.
11. The sum of three consecutive even integers is 174. Determine the integers.
12. The sum of three consecutive odd integers is –219. Determine the integers.
13. Determine two consecutive odd integers such that four times the first integer is
twenty-nine less than seven times the second.
14. Determine four consecutive even integers such that twice the sum of the first and the fourth is 124.
15. Are there four consecutive integers whose sum is – 6? If so, what are they?
16. Henry made up a problem about three consecutive odd integers. He said, “The first decreased by
the third equals the second decreased by nine.” What integers did he have in mind?