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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.

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.

Flow chart: No. of trees in a column is \(x\) → No. of trees in row = ... → Total no. of trees = ... → Frame quadratic equation → Find \(x\) → No. of trees in column → No. of trees in a row.

1 answer

Answer: 10 trees in each column and 15 trees in each row

No. of trees in a column \(= x\); no. of trees in a row \(= x + 5\).

Total no. of trees \(= x(x + 5) = 150\).

\[x^2 + 5x - 150 = 0\]\[(x + 15)(x - 10) = 0\]

\(x = 10\) (number of trees cannot be negative). So 10 trees in a column and \(10 + 5 = 15\) trees in a row; \(10 \times 15 = 150\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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