Question 123186
Let x = the first odd integer, then x+2 will be the next consecutive odd integer and x+4 will be the next consecutive odd integer after that.
The sum of these is equal to 117, so you can write the equation:
{{{x+(x+2)+(x+4) = 117}}} Combine like-terms.
{{{3x+6 = 117}}} Subtract 6 from both sides.
{{{3x = 111}}} Finally, divide both sides by 3.
{{{x = 37}}} This is the first odd integer.
{{{x+2 = 39}}} This is the next consecutive odd integer.
{{{x+4 = 41}}} This is the next consecutive odd integer.
Check"
{{{37+39+41 = 117}}} OK!