Single And Double..Help Ali!!

Level pending

There is a home in Karachi, where three boys live.

Ali is their neighbor and has an apple tree. Ali wants to go in that home to give the apples to the boys. The boys want to play tricks on Ali with some magic. They have a magic box which can double things. They planned that Ali must double the number of apples after every boy. The rule is that the distribution of apples must be equal and he must have no more apples after giving the last one. How many apples must Ali pluck from the tree?

7 13 9 4

Shakir Khatti by Shakir Khatti , 23, Pakistan

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1 solution

Shakir Khatti
Jan 25, 2014

Let Ali gives x apples to the boys and their is n number of apples in the tree=n \times x Let n × x n \times x =y After every boy Ali puts apples in the magic box and doubles the number of apples,2x x+2x+x+2x+x=y 7 × x 7 \times x =y 7 × x 7 \times x =n \times x \frac{\(7 \times x }{x} )=n n = 7 \boxed{n=7} or their will be multiples of 7 like 14,21…etc

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Sorry, I have done mistake in the above solution given by me that why i have edited it.

Let Ali gives x apples to the boys

Their is n number of apples in the tree n × x n \times x

Let n × x n \times x =y

After every boy Ali puts apples in the magic box and doubles the number of apples, means 2 × x 2 \times x .

x+2x+x+2x+x=y

7x=y

7 × x 7 \times x = n × x n \times x

n = 7 \boxed{n=7}

or their will be multiples of 7 like 14,21…etc

Shakir Khatti - 7 years, 4 months ago

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