Three men and two women can finish a work in $$\frac{120}{13}$$ days. Two men and three women can finish the same in 10 days. One man and one woman start the work and after 12 days, 1 more man joins the work. After three more days, it is directed to engage more men or women to finish the work the next day. How many minimum more men or women must be engaged to complete the work as per direction?

A

Either 14 women or 10 men

B

7 men and 7 women

C

5 men and 10 women

D

Either 15 women or 9 men