Question

There are four temples, one plant of flower and a pond. 

A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple. 

The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled. 

He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple

The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?​

Answer 1

Answer:

The boy offered 1 flower in each temple.

There are four temples, one plant of flower and a pond.

A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.

The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.

He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple

The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples

Explanation:

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Answer 2

Answer: 16 Flower he offered in each temple

Explanation:

Given in the question:-

There are , 1 plant of flower and 1 pond.

4 temples

The Boy needs to pluck flower, bath and enter each temple

After dipping in pond the number of flowers double to that what he was he was having before having a dip into the pond.

The boy does this for each each and every temple one by one starting from the first temple and till the last temple.

Also as given the boy offers equal number of flowers at each temple 1,2,3,4 and also he is has no flowers left with him at the end of the fourth temple.

Now,

Assuming he had x flowers at the starting and also he offers y flowers at each temple:-

Now calculating the flowers left after each visit to temple:-

Which is calculated by:-

Number of Flowers left:-(Flowers before dipping into the pond after worshiping in the temple)*2-(Flowers offered in each temple).

Temple:1-Number of Flowers left=(2x-y).

Temple:2-Number of Flowers left=(2*(2x-y))-y=4x-2y-y=4x-3y.

Temple:3:-Number of Flowers left=2*(4x-3y)-y=8x-7y.

Temple:4-Number of Flowers left=2*(8x-7y)-y=16x-15y.

And finally at Temple:4:-

Number of flowers left is zero:-

So, 16x-15y=0,

Implies:-

16x=15y so the least pair of (x,y) that can satisfy the equation is:-

(x=15 and y=16)

This can be checked out by:-

By calculating the number of remaining flowers at each temple:-

Temple:1:-2*15-16=30-16=14,

Temple:2:-2*14-16=12,

Temple:3:-2*12-16=8,

Temple:4-2*8-16=0(As all values of remaining flowers are positive and last value is zero the values are acceptable).

Answer:-flowers could he have offered in each temples is:-16flowers.

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