Question 249756
What three consecutive integers have a sum of -186?


Let x = integer
Let x+1 = consecutive integer
Let x+2 =the next consecutive integer
Their sum equals -186


{{{x+x+1+x+2=-186}}}
{{{3x+3=-186}}}
{{{3x=-186-3}}}
{{{3x=-189}}}
{{{x=-189/3}}}
{{{x=-63}}} <--- here's the first integer


{{{x+1=-63+1=-62}}} <--- the second integer
{{{x+2=-63+2=-61}}} <--- the third integer


Let's check for accuracy:
{{{x+(x+1)+(x+2)=-186}}}
{{{-63+(-62)+(-61)=-186}}}
{{{-63-62-61=-186}}}
{{{-186=-186}}}  <--- the answers check!