Consecutive integers

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The sum of two consecutive integers is 53. What are the integers?
Four consecutive integers add to 42. What is the third of those numbers?
Three consecutive odd integers total $-$ $-$ 21. What are the integers?
The sum of three consecutive even integers is 96. What is the value of the largest integer?
5 more than the sum of two consecutive odd integers is $-$ $-$ 35. What is the larger integer?
Two times the sum of two consecutive odd integers is 64. What are the integers?
When the larger of two consecutive integers is added to 3 times the smaller, the result is 29. What is the smaller number?
When the smaller of two consecutive even integers is subtracted from 3 times the larger, the result is $-$ $-$ 82. What are the integers?
Prove that the sum of five consecutive numbers are always a multiple of 5.
Prove that the sum of two consecutive square numbers is always an odd number.