in an orchard the number trees in each row is 10 more than that in each row . find the number of trees in each column, if the total number of trees is 3000
Answers
Given : in an orchard the number of trees in each column is 10 more than that in each row .
Total number of trees is 3000
To Find : the number of trees in each column,
Solution:
number of trees in each column = x
number of trees in each column is 10 more than that in each row .
number trees in each row = x - 10
Total number of trees = x(x - 10)
= x² - 10x
x² - 10x = 3000
=> x² - 10x - 3000 =
=> x² - 60x + 50x - 3000 = 0
=> (x - 60)(x + 50) = 0
=> x = 60
number of trees in each column = 60
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