2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?

A

$$12 \frac{1}{2} days $$

B

$$12 days $$

C

$$13 \frac{1}{2} days $$

D

$$13 days $$