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In an orchard , the number of trees in e...

In an orchard , the number of trees in each column is 5 more than that in each row. Find the number of trees in each column, if the total number of trees is 1400. Flow chart.

Text Solution

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The correct Answer is:
The number of trees in a column is 40.
Let the number of trees in a row be x.
The number of trees in a column `= ( ul ( x+5))`
Total number of trees `= ul(x ( x+5))`
Total number of trees `= ul ( 1400)` ….(Given )
`:. ul ( x( x+5) = 1400)`
`:. x^(2) + 5x - 1400 = 0 `
`:. x^(2) + 40 x - 35x - 1400 = 0 `
`:. x( x+ 40 ) - 35( x+ 40) = 0 `
` :. ( x+40) ( x-35) = 0 `
`:. x + 40 0` or `x- 35=0`
`:. x = - 40 ` or `x = 35 `
But the number of trees cannot be negative.
`:. x - 40 ` is unacceptable
`:. x = 35 ` `:. x + 5 = 35 + 5 = 40`
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