Question 199262
Let x = the first number, (x+1) = the next consecutive number, and (x+2) = the third consecutive number.
According to the problem statement:
{{{2x = (x+2)+23}}} Simplify this and solve for x.
{{{2x = x+25}}} Subtract x from both sides.
{{{highlight_green(x = 25)}}} and..
{{{highlight_green(x+1 = 26)}}} and...
{{{highlight_green(x+2 = 27)}}}, so...
The three consecutive numbers are 25, 26, and 27.
Check:
{{{2x = (x+2)+23}}} Substitute x = 25.
{{{2(25) = (25+2)+23}}} 
{{{50 = 27+23}}}
{{{50 = 50}}}