Question 72123
Let n = the integer.  The next consecutive integer is (n+1), so:
{{{(3/5)(n+1)-(1/2)n = 3}}} Simplify and solve for n.
{{{(3/5)n+(3/5)-(1/2)n = 3}}}
{{{(6/10)n-(5/10)n = 3+(3/5)}}}
{{{(1/10)n = 12/5}}} Multiply both sides by 10.
{{{n = 24}}} and {{{n+1 = 25}}}