Question

ram read 5/ 2th of the book on the first day, 3/ 1rd of the remaining on the second day,and he finishes the book on the third day. if there is a total of 300 pages in the book. how many pages did he read on the third day?​

Answer 1

$\huge\color{pink}{\mathfrak{ᴀɴsᴡᴇʀ}}$

Let the number of pages be x

$\sf \: On \: first \: day= \frac{5}{2} x$

$\sf \: On \: second \: day= \frac{3}{1} x$

Total pages=300

$\sf \frac{5}{2} x + \frac{3}{1} x = 300$

Take L.C.M. to make the denominators same.

L.C.M. of 2 and 1=2

$\sf = \frac{5x + 6x}{2} = 300 \\ \sf= 11x = 300 \times 2 \\ \sf = x = \frac{600}{11} = 54.54$

$\sf \: On \: first \: day= \frac{5}{2} x = \frac{5}{2} \times 54.54 = 136.35 \\ \\ \sf \: On \: second \: day= \frac{3}{1} x = \frac{3}{1} \times 54.54 = 163.62$

So on first day he reads 136.35 pages and on second day he reads 163.62 pages

$\sf \: On \: first \: day= \frac{5}{2} x = \frac{5}{2} \times 54.54 = 136.35 \\ \\ \sf \: On \: second \: day= \frac{3}{1} x = \frac{3}{1} \times 54.54 = 163.62$

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