Mohit read 1/4 of a book. If he read further 60 pages, he would have read 2/3 of the book. How many pages were there in the book?a)12b)36c)96d)144Correct answer is option 'D'. Can you explain this answer?

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Mohit read 1/4 of a book. If he read further 60 pages, he would have read 2/3 of the book. How many pages were there in the book?

a)
12
b)
36
c)
96
d)
144

Correct answer is option 'D'. Can you explain this answer?

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Mohit read 1/4 of a book. If he read further 60 pages, he would have r...

Let's assume that the total number of pages in the book is "x".

According to the given information, Mohit read 1/4 of the book. Therefore, the number of pages he read is (1/4) * x.

It is also given that if he read 60 more pages, he would have read 2/3 of the book. So, the total number of pages he read is (1/4) * x + 60.

Now, we can set up an equation to solve for the value of x.

(1/4) * x + 60 = (2/3) * x

To simplify the equation, we can get rid of the fractions by multiplying every term by 12 (the least common multiple of 4 and 3).

12 * [(1/4) * x + 60] = 12 * [(2/3) * x]

3x + 720 = 8x

Subtracting 3x from both sides of the equation, we get:

720 = 5x

Dividing both sides of the equation by 5, we get:

x = 144

Therefore, there were 144 pages in the book.

Therefore, the correct answer is option D) 144.

Answered by Learning Enablers · View profile

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Mohit read 1/4 of a book. If he read further 60 pages, he would have read 2/3 of the book. How many pages were there in the book?a)12b)36c)96d)144Correct answer is option 'D'. Can you explain this answer?

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