Math, asked by ankita1234594, 1 year ago

Sachin reads 3/5 of a book . He finds that there are are still 80 pages left to be read. Total number of pages in the book are?

Answers

Answered by geeteshraj06
6

Step-by-step explanation:

Let the total no. of pages be x

Then he read 3x/5 of a book

There fore, x - 3x/5= 80

5x-3x/5 =80

2x/5= 80

2x= 80*5 =400

= x = 200

Answered by ItzMysticalBoy
18

Answer:

Let the total number of pages in the book be x.

Atq,

 \:  \:  \:  \:  \:  \:  \:  \: x =  \frac{3}{5}  \: of \: x + 80  \\  =  > x =  \frac{3}{5}  \times x + 80 \\  =  > x =  \frac{3x}{5}  + 80 \\  =  > x -  \frac{3x}{5}  = 80 \\  =  >  \frac{5x - 3x}{5}  = 80 \\  =  >  \frac{2x}{5}  = 80 \\  =  > 2x = 5 \times 80 \\  =  > x =  \frac{5 \times 80}{2}  \\  =  > x = 5 \times 40 \\  =  > x = 200

Hence, the total number of pages in the box is 200.

Verification :

 \:  \:  \:  \:  \:  \:  \: 200 =  \frac{3}{5}  \times 200 + 80 \\  =  > 200 = 3 \times 40 + 80 \\  =  > 200 = 120 + 80 \\  =  > 200 = 200

Hence, it is clear that total number of pages in the book is 200.

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