Question

Ramesh finished 1/6 of the book in the morning and 1/3 of the book in the night. Now, he has 18 pages left to read. Find the total number of pages in the book.

Answer 1

1/6+1/3+18/1
LCM 6
1/6*1
1/3*2
18/1*6
1/6+2/6+108/6
1+2+108/6
111/6

Answer 2

Let the total number of pages in the book be x

1/6 of book
$= \frac{1}{6} x$
1/3 of book
$= \frac{1}{3} x$
Total reading
$\frac{1}{6} x + \frac{1}{3} x \\ \frac{x}{6} + \frac{x}{3} \\ \frac{x}{6} + \frac{2x}{6} \\ \frac{x + 2x}{6} \\ \frac{3x}{6} \\ \frac{1}{2} x$
Total pages = total reading + left reading
$x = \frac{1}{2}x + 18 \\ 18 = x - \frac{1}{2} x \\ 18 = \frac{2}{2} x - \frac{1}{2} x \\ 18 = \frac{1}{2} x \\ x = 18 \times 2 \\ x = 36$
Ans: The total numbet of pages in the book is 36.

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