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Question: There was a magical pond between three temples. If anybody would wash the flowers in that pond,the flowers doubled. So once a person went to a garden, plucked some flowers and washed it in the magical pond and kept some flowers in one temple. After that he went to the pond and washed the remaining number of flowers and kept the exact number of flowers that he kept in the first temple in the second temple.He again washed the remaining no. of flowers and again kept the same no. of flowers he kept in the 1st and 2nd temple in the third temple and he was at last left with 0 flowers.So, what are the no. of flowers he plucked from the garden and what are the no. of flowers he kept in every temple?
Answer: He plucked 7 flowers from the garden and 8 he kept in every temple. LOGIC: let the no. of flowers he plucked be 'x' he washed x no. of flowers in the pond =2x let the no. of flowers he kept in each temple be 'y' and that equals=2x-y then he washed 2x-y=2(2x-y)=4x-2y Then again he kept y no. of flowers in the 2nd temple =4x-2y-y He again doubled the flowers by washing them in the magical pond=2(4x-2y-y)=8x-4y-2y and then he again kept y no.of flowers in the 3rd temple So,8x-4y-2y-y=0 as he is left with nothing. so that will be 8x-(4y-2y-y)=0=8x-7y=0 =8x+0=7y As 0 has no value it will be cut So, 8x=7y as 7 and 8 are co-prime,they will be multiplied by each other. =8x=56=7y so x becomes 7 and y becomes 8 =7=x=no. of flowers plucked =8=y=no. of flowers kept in each temple
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