Brain teaser!! flower problem!!

There were three magical ponds in the compound of a famous temple of three deities.

The magic of those magical ponds were that if you dip lotuses into the each pond,

The number of lotuses will get doubled.

 

One day a small boy went to the temple with some number of lotuses.

He dipped the entire lotuses into the first pond and it got doubled.

He kept some of them in the front of the first deity.

He took the remaining lotuses to the second pond and dipped the entire lotuses into the pond.

It again got doubled.

He kept some of them in the front of the second deity.

He took the remaining lotuses to the third pond and dipped the entire lotuses into the pond.

It again got doubled.

He kept all the remaining lotuses in the front of the third deity.

 

The numbers of flowers kept in the front of all the three deities were SAME.

 

Tell me How many lotuses did the boy took to the temple and How many lotuses did he keep in front of those deities?

Replies (3)

the number of flowers taken is a multiple of 7 and the number of flowers kept will be a multiple of 8. i.e the answers are 7,8 or 14,16 or 21,24 or so on....

Let the flowers took to the temple be 'x'

and flowers kept in front of deities be 'y'.

Then,  2(2(2x-y)-y)-y = 0

8x-7y = 0

x/y = 7/8

So it gives multiple answers.....

For 'x' values are multiples of 7 and for 'y' values are multiples of 8.... smiley

 

Correct Answers... Tejaswi and Raghu..

Well explained Raghu...

For those who don't understand or hate 'x' and 'y', here's the typical 'CA' solution.

Let the flowers kept before  deity 3  be 100.

Before dipping in Pond 3, the no. of flowers will be 50. (half of 100)

the flowers kept before deity 2 is also 100. (Since no of flowers are same before each deity).

After dipping in Pond 2, the no. of flowers will be 150.(100 kept before deity and 50 remaining)

that means before dipping in Pond 2, the no. of flowers will be 75. (half of 150).

the flowers kept before deity 1 is also 100. (Since no of flowers are same before each deity).

After dipping in Pond 1, the no. of flowers will be 175.(100 kept before deity and 75 remaining)

that means before dipping in Pond 2, the no. of flowers will be 87.5. (half of 175).

THAT MEANS IF THE BOY TOOK 87.5 FLOWERS TO THE TEMPLE, HE WOULD HAVE KEPT 100 FOLWERS ON EACH DEITY'S FEET.

87.5  : 100

175: 200 (MULTYPLYING 2 ON EACH SIDE)

7 : 8 (DIVIDING 25 FROM EACH SIDE)

THAT IS THE RATIO SHALL BE 7:8

OR

87.5 % OF THE FLOWERS SHALL BE KEPT..

 

 

 

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