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Solutions
Population of first village = 1860
Ratio of male to female population in the first village is 8 : 7
If male population in the first village is 8x then number of female in the first village will be 7x
⇒ 15x = 1860
⇒ x = 124
Hence, population of male in the first village = 
population of female in the first village = 
Population of second village =3744
Ratio of male to female population in the second village is 13:11
If male population in the second village is 13y then number of female in the second village will be 11y
⇒ 24y = 3744
⇒ y = 156
Hence, population of male in the second village = 
population of female in the second village = 
Total number of male in both villages = 992 +2028 = 3020
Total number of Female in both villages = 868 +1716 = 2584
Required Ratio = 3020 : 2584 = 755 : 646