Question

Sum of 2 consecutive integers is 59. Write an equation that models that situation and find values of both integers

Answer 1

Note that the difference between two consecutive integers is equal to 1. Thus,
Let x = first number
Let x+1 = the second number
Then we set up the equation. It says in the problem that their sum is 59, so
x + x + 1 = 59
Finally we solve for x:
2x + 1 = 59
2x = 59 - 1
2x = 58
(2x)/2 = 58/2
x = 29 (first number)
x+1 = 30 (second number)

Hope this helps~ :3