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November 16 2017
Question Free notebooks were distributed equally among the children of a class. The number of notebooks each children was one eighth of the number of the children when the number of children been half, each would have got 16 notebooks. How many notebooks was distributed in all?
Answer

let the number of children = x

Hence total number of books distributed = (1/8)*x*x = x2/8 …. (i)

In case II: No. of children =x/2

Now the total number of notebooks =16 * (x/2) = 8x…. (ii)

Comparing (i) and (ii), we get

x2/8 = 8x or x = 64

Hence total no. of notebooks

= (64 * 64)/8 =512

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