Question 1113273
The question does not have a unique solution. Suppose there are 30 men and 70 women. Then there are 20 married men and 42 married women. The ratio in question is 62/100. Expressed as a percentage, this turns out to be 63%.  If there are 60 men and 120 women, then the ratio in question, expressed as a percentage, turns out to be 72%. Since the percentage varies, the ratio must also vary. 

Note: the answer is not wrong, since the problem does not specify any constraints.


If you assume only one man marries one woman, then the problem can be solved as follows:


Let x = # of men and y = # of women


Married men: (2/3)x

Married women: (3/4)y


Since there is a one-to-one correspondence between married men & married women, (2/3)x=(3/4)y


So that y=(8/9)x


Using substitution,


Married = (2/3)x+(3/4)(8/9)x = (4/3)x


Total population: x+(8/9)x=(17/9)x


Ratio in question: (4/3)/(17/9)= 12/17 (Answer)