In an orchard, the number of trees in each column is 5 more than that in each row. Find the number of trees
in each column. If the total number of trees is 1400.
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Answer:
40
Step-by-step explanation:
Let the number of trees in each row be x.
Number of trees in each column = x+5
According to Question,
x × (x+5) = 1400
=> x²+5x = 1400
=> x²+5x-1400 = 0
=> x²-35x+40x-1400 = 0
=> x(x-35)+40(x-35) = 0
=> (x+40)(x-35) = 0
=> x = -40 or x = 35
Neglecting the negative value of x,
x = 35
Therefore, number of trees in each column = 35+5 = 40
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