Question

*After reading 4/7 and eight pages of the book, 1/3 of the book is remaining. How many pages does the book have?*
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Answer 1

Step-by-step explanation:

$\frac{4x}{7} + 8 = \frac{2x}{3} \\ 8 = \frac{2x}{3} - \frac{4x}{7} \\ 8 = \frac{14x}{21} - \frac{12x}{21} \\ 8 = \frac{2x}{21} \\ 168 = 2x \\ x = 84$

Answer 2

Given :- After reading 4/7 and eight pages of the book, 1/3 of the book is remaining.

To Find :- How many pages does the book have ?

Solution :-

Let us assume that, total pages in the book were x .

So,

→ Total pages read = 4/7 of x + 8 pages = (4x/7) + 8

then,

→ Total pages left = Total pages - Total pages read = x - {(4x/7) + 8} = {(3x/7) - 8}

A/q,

→ Total pages left = (1/3) of x

→ (3x/7) - 8 = (x/3)

→ (3x/7) - (x/3) = 8

→ (9x - 7x)/21 = 8

→ (2x/21) = 8

→ 2x = 8 × 21

→ x = 4 × 21

→ x = 84 pages .

Another way :-

since (1/3) of the book is remaining, total pages reads are equal to (2/3) of the book .

So,

→ (4x/7) + 8 = (2x/3)

→ (2x/3) - (4x/7) = 8

→ (14x - 12x)/21 = 8

→ (2x/21) = 8

→ 2x = 8 × 21

→ x = 4 × 21

→ x = 84 pages .

Hence, the book have total 84 pages .

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