Answer:
The numbers are -9 and -7 or 13 and 15
Step-by-step explanation:
Let
x and x+2 ----> two consecutive odd integers
we know that
[tex]x(x+2)=3[x+x+2]+111[/tex]
Solve for x
[tex]x(x+2)=3[x+x+2]+111\\ \\x^{2}+2x=6x+6+111\\ \\x^{2}-4x-117=0[/tex]
Solve the quadratic equation by graphing
The solution is x=-9, x=13
see the attached figure
First solution
x=-9
x+2=-9+2=-7
The numbers are -9 and -7
Second solution
x=13
x+2=13+2=15
The numbers are 13 and 15
