An algebra textbook has total of 1382 pages. It is broken up into
two parts. The second part of the book has 64 pages more than
the first part. How many pages are in each part of the book?
(a) 659, 723 (b) 658, 724 (c) 660, 722 (d) 661, 721
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SOLUTION : Let the number of pages in first part of text book be x & number of pages in second part be y. Given : Total number of pages in algebra textbook = 1382 . First part + second part = 1382 x + y = 1382………........(1) A.T.Q Given : Second part of the book has 64 pages more than 1st part . y = 64 + x x - y = - 64..................(2) On Adding eq 1 & eq 2 x - y = - 64. x + y = 1382 ------------------- 2x = 1318 x = 1318/2 x = 659 On Putting x = 659 in equation (2), x - y = - 64 659 - y = -64 y = 64 + 659 = 723 y = 623 Hence,the number of pages in first part is 659 and number of pages in second part is 723. HOPE THIS ANSWER WILL HELP YOU...
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So option (a)659, 723 is correct
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