Question

find three consecutive integers such twice the greatest integer is 2 less than 3 times the least integer

Answer 1

The consecutive integers are n, n+1, n+2

2(n+2)=3n-2 perform indicated multiplication on left side

2n+4=3n-2  subtract 3n from both sides

-n+4=-2  subtract 4 from both sides

-n=-6  divide both sides by -1

n=6

So the three consecutive numbers are 6,7, and 8