1.

In the orange garden there are 150 orange trees. The number of treesin each row is 5 more than that in each column. Find the number of treesin each row and column.

Answer»

The total no. of trees are 150.

Let no. of trees in each column be tno. of trees in each row = t + 5Total no. of trees = no. of trees in each row X no. of trees in each column

150 = t ( t+ 5 )150 = t² + 5tt² + 5t - 150 = 0t² + 15t - 10t - 150 = 0t(t + 15) -10(t + 15) = 0(t - 10)(t + 15) = 0t = 10 or -15But t cannot be negative as it is no. of trees.

So, t = 10

Therefore, no. of trees in each row is 10 + 5 = 15and in each column is 10.



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