SOLUTION: An orchard has 864 orange trees. The number of rows exceeds the number of trees per row by 5 How many trees are there in each row

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Question 1098870: An orchard has 864 orange trees. The number of rows exceeds the number of trees per row by 5 How many trees are there in each row
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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You have 2 (two) options:


Option 1 

Solve the quadratic equation 

t*(t+5) = 864,

where t is the number of trees in each row.


Option 2 

Find (MENTALLY) two factors of the number 864 that multiply up to 864 and differ by 5 units:

864 = 2*432 = 4*216 = 8*108 = 16*54 = 32*27 . . .    Oops !  You just found them:


Answer.  The number of trees in each row is 27.


Check.  27*(27+5) = 27*32 = 864.