Answer
$14,15,16$
Work Step by Step
You have to find 3 consecutive numbers that equal $45$. Let x be the first number. The next number is greater than x so it will be $x+1$.The next consecutive number is 2 greater than x so it will be $x+2$.Use this to make an equation:
$x+x+1+x+2=45$ (simplify)
$3x+3=45$ (subtract both sides by 2)
$3x=42$ (divide both sides 3 to get the first consecutive number)
$x=14$
The first consecutive number is 14.
The second number is 14+1=15.
The third number is 14+2=16.