Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and Sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?

24 men complete the work in 16 days
⇒ Work that 16 men complete in 12 days = (16/24) x (12/ 16) = 1/2 part of work in 12 days.
32 women complete the work in 24 days
∴ Work that 16 women complete in 14 days = (16/32) x (14/24) = 7/24 part of work in (12 + 2) = 14 days.
So, the remaining part of the work which done by (sixteen men + sixteen women) and required additional no. of men in 2 days = 1 - (1/2 + 7/24) = 1/2 - 7/24 = 5/24 (part)
Now, in 2 days 5/24 part part of the work is done by (24 x 16)/ 2 x (5/ 24) = 40 men
∴ Required additional no. of men = 40 - 16 =24.