# The number of chickens to the number of ducks on a farm was 6:5. After 63 ducks were sold, there were 3 times as many chickens as ducks left. How many chickens were there on the farm?

Nov 24, 2016

$126$ chickens were in the farm.
Let there be $6 x$ chikens and $5 x$ ducks (Ratio: $6 : 5$).
When 63 ducks are sold, by given condition, (6x)/(5x-63)=3/1 or 6x=15x-189 or 9x=189 or x=21 ; 6x=6*21=126
Therefore, $126$ chickens were there in the farm.[Ans]