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Rani read 52 pages of a book on Monday. On Tuesday, she read 1/6 of the remaining pages. If she still had half of the book left to be read, how many pages

were there in the book?
where is answer answered by me already before


Solution: Let X be the total number of pages in the book # of pages read on Monday = 52 pages -------------------------- 1 # of remaining pages = X-52 Given that Rani reads 1/6 of the remaining pages on Tuesday # of pages read on Tuesday = ଵ଺ (Remaining Pages) = ଵ଺(X-52) ---------------------------- 2 At the end of Tuesday she has half the books still remaining = ௑ଶ ---------------------------- 3 Total number of pages remaining at end of Tuesday = Total pages – pages read on Monday – pages read on Tuesday So we can write ௑ଶ = X – 52 - ଵ଺(X-52). Solving for X with this equation ௑ଶ = ଺௑ିହଶሺ଺ሻି௑ାହଶ଺ or 3X = 5X-260 or 2X = 260 or X = 130 So the total number of pages in the book = 130 
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Let Total Number of Pages be x.
If half of the book is left to be read after Tuesday, it means :-

pages read on monday + 1/6th of remaining pages = 1/2 of the total number of pages.

⇒ 52 +  \frac{x-52}{6}  =  \frac{x}{2}
⇒  \frac{312+x-52}{6}  \frac{x}{2}
 \frac{260+x}{6}  \frac{x}{2}

Therefore, Total number of pages is 130.

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