Question

In the orange garden of Mr. Madhusudan there are 150 orange trees. The number of trees in each row is 5 more than that in each column. Find the number of trees in each row and each column with the help of following flow chart.

Answer 1

Let the number of trees in each column be x.
Number of trees in a row = x + 5
Total trees = Number of rows $\times$ Number of columns = $x\left(x+5\right)$ = 150
$$\begin{gathered} \Rightarrow x\left(x+5\right)=150 \\ \Rightarrow x^2+5x-150=0 \\ \Rightarrow x^2+15x-10x-150=0 \\ \Rightarrow x\left(x+15\right)-10\left(x+15\right)=0 \\ \Rightarrow \left(x+15\right)\left(x-10\right)=0 \\ \Rightarrow x=10,-15 \end{gathered}$$
But number of columns cannot be negative so, number of columns = 10.
Number of rows = 10 + 5 = 15