Question

gopal reads 3/5 of a book. He finds that there are still 80 pages left to be read. the total number of pages in the book are​

Answer 1

Answer:

The Total pages in the book are 200.

Step-by-step explanation:

Given :

Gopal reads = $\sf{\dfrac{3}{5}}$ of a book

Pages left = 80

To find :

The total pages of the book

Solution :

Let the total pages be y

$\bigstar \: \boxed{\sf{ \frac{3}{5} \: of \: y = y - 80 }}$

$\sf{\implies} \: \dfrac{3}{5} \: of \: y = y - 80 \\ \\ \sf{\implies} \: \dfrac{3}{5} \times y = y - 80 \\ \\ \sf{\implies} \: \dfrac{3y}{5} = y - 80 \\ \\ \sf{\implies} \: \dfrac{3y}{5} - y = - 80 \\ \\ \sf{\implies} \: \dfrac{3y - 5y}{5} = - 80 \\ \\ \sf{\implies} \: \dfrac{ - 2y}{5} = 80 \\ \\ \sf{\implies} \: - 2y = - 80 \times 5 \\ \\ \sf{\implies} \: \cancel{-} 2y = \cancel{ - }400 \\ \\ \sf{\implies} \:y = \dfrac{400}{200} \\ \\ \sf{\implies} \:y = 200$

Total pages = 200

$\therefore$ The Total pages in the book are 200.

Answer 2

Answer:

$\large\boxed{\sf{200}}$

Step-by-step explanation:

It is being given that,

Gopal reads 3/5 of a book.

No. of pages left to read = 80

Let the total number of pages = x

Therefore, We have the relation,

$\sf{= > \frac{3}{5} x + 80 = x }\\ \\ \sf{= > 3x + 400 = 5x} \\ \\ \sf{ = > 5x - 3x = 400} \\ \\ \sf{ = > 2x = 400 }\\ \\ \sf{ = > x = 200}$

Hence, 200 pages is the answer.