Question

an orchard has 960 apple trees. the number of rows exceeds the number of trees per row by 2. how many trees are there in each row?

Answer 1

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Answer 2

There are 30 trees in each row.

Explanation:

Given:

Total Number of Apple trees =960

Let Number of trees in each row be x

Then as per given data number of rows= Number of trees in each row + 2

Solution:

Formula:

Number of trees in each row
`*` Number of rows = Total Number of Apple tree.

Now Substituting the given values we get.

`x(x+2)=960`

`x^2+2x=960\\x^2+2x-960=0\\`

Now Evaluating the equation we get

`x^2+32x-30x-960=0\\x(x+32)-30(x+32)=0\\(x-30)(x+32)=0\\`

Now finding both the values of x

`x-30=0\\x=30\\`

Also

`x+32=0\\x= -32`

Now we have two value of x which 30 and -32.

But number of trees cannot be in in negative sign hence -32 value will be invalid

`\therefore` Number of trees in each row = 30

And Number of rows = 30+2 =32