In the beginning, they have 50 and 180 cows respectively.
The two farmers bought a total of 230 cows .
A year later the first farmer had 10% more cows than in the beginning.
Therefore,
let
x = number of cow he has initially.
A year later the percentage increase = 0.1x
whereas the second had 20% increase. Therefore,
let
y = number of cow he has initially.
A year later percentage increase = 0.2y
Hence,
x + y = 230
1.1x + 1.2y = 263
1.1x + 1.1y = 253
1.1x + 1.2y = 263
0.2y = 10
y = 10 / 0.2
y = 50
x = 230 - 50
x = 180
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