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In the orange garden of Mr. Madhusudan t...

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

Text Solution

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The correct Answer is:
The number of trees in each column and each row is 10 and 15 respectively.
The flow chart with answer is as follows :
`(##NVT_MAT_DIG_X_P1_C02_E06_003_A01##)`
Let the number of trees in each column be x.
Then the number of trees in each ros =(x+5).
The total number of trees =x(x+5).
The total number of trees is given to be 150.
`:.x(x+5)=150`
`:.x^(2)+5x-150=0`
`:.x^(2)+15x-10x-150=0`
`:.x(x+15)-10(x+15)=0`
`:.(x+15)(x-10)=0`
`:.x+15=0orx-10=0`
`:.x=-15orx=10`
But the number of trees cannot be negative.
`:.x=-15` is unacceptable.
x=10 and x+5=10+5=15
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