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प्रश्न
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.
उत्तर
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
\[\Rightarrow x\left( x + 5 \right) = 150\]
\[ \Rightarrow x^2 + 5x - 150 = 0\]
\[ \Rightarrow x^2 + 15x - 10x - 150 = 0\]
\[ \Rightarrow x\left( x + 15 \right) - 10\left( x + 15 \right) = 0\]
\[ \Rightarrow \left( x + 15 \right)\left( x - 10 \right) = 0\]
\[ \Rightarrow x = 10, - 15\]
But number of columns cannot be negative so, number of columns = 10.
Number of rows = 10 + 5 = 15
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