Question

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of two integers.

Answer 1

Set on of the numbers as x. The consecutive integer to it would be x+1 (or x-1, which ever one you like. I'm going to use x+1 though). 

The sum would be 

x + (x+1)

Set it equal to 59. 

x+x+1=59
2x+1=59
2x=58
x=49

One integer is 49. The other integer, x+1, is 50.

Hope this helps!