Question

There are 16 rows of trees in an orchard .If the number of trees in each column is 10 more than the number of rows, then the total number of trees in the orchard is__

Answer 1

Answer:

40

Step-by-step explanation:

Let the number of trees in a row be x.

The number of trees in a column =(x+5−−−−−)

Total number of trees =x(x+5)−−−−−−−

Total number of trees =1400−−−− ….(Given )

∴x(x+5)=1400−−−−−−−−−−−−−

∴x2+5x−1400=0

∴x2+40x−35x−1400=0

∴x(x+40)−35(x+40)=0

∴(x+40)(x−35)=0

∴x+400 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