Answer:
[tex]5\:\:and\:\:7[/tex] are the required consecutive odd integers.
Step-by-step explanation:
Let's say, the two consecutive odd integers be, x and x+2.
[tex]x\left(x+2\right)=2\left(x+2\right)+21\\\\x^2+2x=2x+4+21\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\\\x^2+2x=2x+25\\\\x^2+2x-2x=2x+25-2x\\\\x^2=25\\\\x=5[/tex]
