Question

a boy reads 2/9 of a book on the first day. on the second day he reads 4/5 of the remaining portion. what portion of the book does the boy read in the two days? if 49 pages are left to be read, find how many pages are there in the book?

Answer 1

Fraction of the book he read on first day = 2/9 (Given)

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Find remaining fraction of the book left to read after first day:

1 - 2/9 = 7/9

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Find fraction of the book he read on second day:

4/5 x 7/9 = 28/45

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Find total fraction of the book read of the two days:

2/9 + 28/45 = 38/45

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.Answer: The boy read 38/45 of the books in the two days

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Remaining fraction of the book left after two day:

1 - 38/45 = 7/45

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Find the total number of pages:

7/45 of the book = 49 pages

1/45 of the book = 49 ÷ 7 = 7 pages

45/45 of the book (Whole book) = 7 x 45 = 315 pages

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Answer: There are 315 pages in the book.