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Two farmers were cultivating wheat on their respective agricultural land in a village. Farmer A had an average production of 20 bushels from a hectare. Farmer B, who had 15 hectares of more land dedicated to wheat cultivation, had and output of 30 bushels of wheat from a hectare. If farmer B harvested 530 bushels of wheat more than farmer A, how many bushels of wheat did farmer A cultivate?
Let's assume farmer A has ‘x’ hectare land.
$$\therefore$$ Total production of A = 20x
According to the information given to us B will have 'x+15' hectare land.
$$\therefore$$ Total production of B = 30*(x+15)
Given that : Total production of B - Total production of A = 530
30*(x+15) - 20x = 530
x = 8
Thus, total production of A = 20*8 = 160
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