One half of a certain number added to one third of the next consecutive number is 22. Find the numbers.

Answer 1

Let x = 1st number and x+1 = 2nd number, then

(x/2)+[(x+1)/3]=22

Clear fractions (multiply by 6)

3x + 2(x+1) = 132

5x +2 = 132

5x=130

x=26, and x+1=27