## Wednesday, March 16, 2011

### Temple,Flowers and Magic Pond

There is a lake, of square shape. There are four temples on each
corner. There is a flower tree next to, say temple no 1. The pond has
this magic power, if a flower is dip into the water it doubles the
quantity. There is a warning note from the priest, saying "No flower
should be wasted".

So the puzzle is, how many flowers should be plucked from the tree and
should be offered in the temple and after offering at each temple, no
flower should be left. Each temple has to be offered the same number
of flower. Before offering, flowers has to be dipped in to the pond to
get it double, as he can pluck the flowers from the tree only once, so
he has to be care-full in choosing, the total number of flowers

There are infinite solutions to this problem. Say x flowers are plucked and
y flowers are offered in each temple. then -

2(2(2(2x-y) -y) -y) -y =0
i.e.
16x-15y=0;

any pair the x and y satisfying this equation is a solution.Smallest numbers
are 15, 16

vallabh said...

Anonymous said...

solution:15 flowers should be plucked from the tree and all can be dipped in pond to give 15+15= 30 flowers of which 16 flowers are given to each temple according to the equation or 8 flowers could be plucked from the tree out of which 7 can be dipped in pond to give 14+1= 15 flowers and then 8 flowers can be given to each temple according to the equation.

Manni said...

x - flowers plucked from tree in one shot.
2x - flowers on dip to magic pond
4 - total number of temples
y - flowers offered to each temple.

(2x)/4 = y
2x - 4y = 0
final equation :: x - 2y = 0
[ now suppose, he plucked x = 2 flowers from the tree, then on dip to pond, the flowers become 4(2x), so he can offers 1(=y) flower each to the temple.

Manni said...

x - flowers plucked from tree in one shot.
2x - flowers on dip to magic pond
4 - total number of temples
y - flowers offered to each temple.

(2x)/4 = y
2x - 4y = 0
final equation :: x - 2y = 0
[ now suppose, he plucked x = 2 flowers from the tree, then on dip to pond, the flowers become 4(2x), so he can offers 1(=y) flower each to the temple.