Question

1. Aman is an avid reader. He has a good collection of books. In his summer vacation he
read a book of 300 pages in four days.
(a) If the number of pages he read on second, third and fourth day is half the number of
pages he read on previous day, find the number of pages he read on first day.​

Answer 1

Let the pages he read for the first day be x.

On the second day he read x/2 pages.

Similarly, on the third day he read, (x/2)/2 pages, that is, x/4

And on the third day he read x/8 pages.

So the equation becomes,

x+x/2+x/4+x/8 = 300

implies 8x/8 + 4x/8 + 2x /8 + x/8 = 300

implies 15x = 2400

implies x = 160.

So he read 160 pages on the first day.