Question 1084202
Let {{{ x }}} = the number of pages in the book
"I read 2/3 of a book on first day"
That is {{{ (2/3)*x }}}
That leaves 1/3 of the pages left
That is {{{ (1/3)*x }}}
3/5 of the remaining pages is:
{{{ (3/5)*(1/3)*x = (1/5)*x }}}
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Now I can say:
{{{ (2/3)*x + (1/5)*x + 40 = x }}}
Multiply both sides by {{{ 15 }}}
{{{ 10x + 3x + 600 = 15x }}}
{{{ 2x = 600 }}}
{{{ x = 300 }}}
The book has 300 pages
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check:
{{{ (2/3)*300 = 200 }}} pages on the 1st day
There are 100 pages left
{{{ (3/5)*100 = 60 }}} pages on the 2nd day
There are {{{ 300 - 260 = 40 }}} pages left
That is correct