If onehalf of one integer is subtracted from threefifths of

If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?   

Solution

one integer = x
consecutive integer = x + 1
POSITIVE
(3/5)(x + 1) - (1/2)(x) = 3
(3)(x + 1) - (5/2)(x) = 15
(6)(x + 1) - (5)(x) = 30
6x + 6 - 5x = 30
x = 24
Integers = 24 and 25