Question

There are 240 coconut trees, 288 mango trees and 324 apple trees in a garden. they are in rows such that the number of trees in each row is same and each row contains trees of same variety. find the minimum no of rows

Answer 1

hi there,
now consider this with the thought how can i arrange these three bunches such that none of them interferes in other's row.
you will need to make 3 small rectangles where first rectangle has an area of exactly 240 units, the rest two are 288 and 324 sq units.
area of each rectangle is length*breadth. while length is something we are not sure about, we need to get this assured that the breadth remains the same for all the three rectangles.

In short you will need to find the hcf of these three, that is 12.