I read 2/9 of a book on Friday, 1/3 of it on Saturday and the remaining 160 pages on Sunday. How many pages are there in the book? Answer is 360
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Solution :
Let the number of pages in the book be x .
On Friday , ²/9 th of it was read .
∴ Pages read on Friday = 2/9 x .
On Saturday , ⅓ th of it was read .
∴ Pages read on Saturday = ⅓ x .
Remaining number of pages left in the book - 160 .
Thus , from this information , we can get the following linear equation :
2/9 x + ⅓ x + 160 = x
=> 2/9 x + 3/9 x = x - 160
=> 5/9 x = x - 160
=> 9 ( x - 160 ) = 5 x
=> 9x - 1440 = 5 x
=> 4x = 1440
=> x = 360
Hence , the number of pages in the book is 360 .
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