Question

an apple orchard contains a hundred and twelve trees the number of trees in each row is 2 less than twice the number of rows find the number of rows in the number of trees per row

Answer 1

let x be the number of rows and y be the number of trees per row.

x* y = 112
and y = 2x - 2
from first equation y = 112/x
so 112/x = 2x - 2
112 = 2x^2 - 2x
2x^2 - 2x - 112 = 0
x^2 - x - 56 = 0
(x - 8)(x + 7) = 0
x = 8 , - 7 (ignore the negative)
so the number of rows = 8
and number of trees per row = 112/8 = 14

Answer number of rows = 8 and number trees i each row = 14.