Question 202675
{{{(x+1)+(x+2)=(1/2)x+33}}} Start with the given equation.



{{{2x+3=(1/2)x+33}}} Combine like terms.



{{{2(2x)+2(3)=cross(2)((1/cross(2))x)+2(33)}}} Multiply EVERY term by the LCD {{{2}}} to clear out the fraction.



{{{4x+6=x+66}}} Multiply and simplify.



{{{4x=x+66-6}}} Subtract {{{6}}} from both sides.



{{{4x-x=66-6}}} Subtract {{{x}}} from both sides.



{{{3x=66-6}}} Combine like terms on the left side.



{{{3x=60}}} Combine like terms on the right side.



{{{x=(60)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=20}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{x=20}}} 



This means that the first number is 20, the second is 21 (20+1=21), and the third is 22 (20+2=22)