Final answer:
The ratio of women to men in the village is 39:28. The total population of the village is 52.
Step-by-step explanation:
To find the ratio of women to men, we need to find the common value for the number of children in both ratios. Let's assume the number of children is x.
Given a women:children ratio of 13:4, the number of women is 13x/4. Given a men:children ratio of 7:3, the number of men is 7x/3.
Therefore, the ratio of women to men is (13x/4):(7x/3).
This can be simplified to (13/4):(7/3).
Multiplying both sides of the ratio by 12, we get 39:28.
So, the ratio of women to men is 39:28.
To find the total population of the village, we add up the number of women, men, and children. The number of women is 13x/4, the number of men is 7x/3, and the number of children is x. Adding these together, we get (13x/4) + (7x/3) + x = (39x + 28x + 12x)/12 = 79x/12.
Given that there are 24 children in the village, we can substitute x = 24 into the equation to find the total population. Plugging in x = 24, we get (79 * 24)/12 = 158/3 = 52.
Therefore, the total population of the village is 52.