The sum of three consecutive odd numbers is at most 63. Find the greatest possible values of the integers.

Question

The solution set is n≤19.  So the greatest possible values are 19, 21, 23. Or 15, 17, or 19?

Answer 1

Let n be the first odd number, then the second and the third numbers are: n+2 and n+4

n+(n+2)+(n+4)=63

3n=57

n=19

 

The three numbers are:  19,  21,  23