Two consecutive integers are n and n+1 and of course n+1>n.
3n+4(n+1)=102 perform indicated multiplication on left side
3n+4n+4=102 combine like terms on left side 3n+4n=7n
7n+4=102 subtract 4 from both sides
7n=98 divide both sides by 7
n=14
So the smaller integer is 14.
