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Try this Javier: Let n be the first positive even integer and n+2 be the next consecutive positive even integer. You can write the problem as:
Add the fractions on the left. The common denominator is
Simplify and solve for n.
Multiply both sides of the equation by 60.
Multiply both sides by
Subtract 120 from both sides.
Solve for n by factoring.
Apply the zero products principle.
This is the first positive even integer.
Discard this solution as it is a negative integer.
The two integere are:
n = 10 and n+2 = 12
10 and 12