Hint
Try fixing the number of children to see what happens.
Answer
92.
With 149 men and 259 women. The best way is to fix the number of children and play around with the numbers of the men and women to see what happens as these are changed. It soon becomes apparent how changing the children changes the answer and 92 is soon found.
Take the Roman numerals in sequence, and convert to the phonetic alphabet.
1 = I = India
5 = V = Victor
10 = X = X-Ray
50 = L = Lima
100 = C = Charlie
500 = D = Delta
