Question

I read 2/9 of a book on sunday 1/3 of it on monday and the rest 160 on tuesday. How many pages are there in the book

Answer 1

Hey friend, Harish here.

Here is your answer

Let total number of pages in the book be "x".

Then,

$No \ of \ pages \ read \ on\ sunday = \frac{2x}{9}$

$Remaining \ pages = x - \frac{2x}{9}$

                               $= \frac{7x}{9}$

Then,

$No. \ of\ pages\ read\ on\ monday = \frac{x}{3}$

$Now, \ remaining\ pages = \frac{7x}{9} - \frac{x}{3} = \frac{4x}{9}$

On Tuesday she completed reading whole book.

So,

$Remaining \ pages = 160$

$\frac{4x}{9} = 160$

$x = \frac{160 \times 9}{4}$

 $= 40 \times 9$

 $= 360$

Therefore total number of pages in the book is  360.
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Hope my answer is helpful to you.