Question 61 Reenu read 1-5 th pages of a book- If she reads further 40 pages- she would have read 7-10 th pages of the book- How many pages are left to be read-

Let the total pages of the book be x. According to the question, 1/5 x +40 = 7/10 x ⇒ 40 = 7/10 x 1/5 x = 7x 2x/10 ⇒ 40 = 5x/10 ⇒ x= 400/5 = 80 ∴ Total pa ...

You visited us 14 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Method of Substitution to Find the Solution of a Pair of Linear Equations

Question 61 R...

Question

Question 61

Reenu read $\frac{1}{5} t h$ pages of a book. If she reads further 40 pages, she would have read $\frac{7}{10} t h$ pages of the book. How many pages are left to be read?

Open in App

Solution

Let the total pages of the book be x.
According to the question, $\frac{1}{5} x + 40 = \frac{7}{10} x \Rightarrow 40 = \frac{7}{10} x - \frac{1}{5} x = \frac{7 x - 2 x}{10} \Rightarrow 40 = \frac{5 x}{10} \Rightarrow x = \frac{400}{5} = 80$
$∴$ Total pages of a book $= 80$
Hence pages lef to be read = total pages of a book- $(\frac{7}{10} x)$
$= 80 - \frac{7}{10} \times 80$
$= 80 - 56 = 24$ pages

Suggest Corrections

Similar questions

Q. Reemu read

\frac{1}{5} t h

pages of a book. If she reads further 40 pages, she would have read

\frac{7}{10}

th pages of the book. How many pages are left to be read?

Q. Mona read

\frac{1}{3}

of the total number of pages in the book. If 40 pages are still not read, how many pages did she read?

Neha has read $\frac{1}{8}$ of a book. The book has 336 pages. How many pages must she still read to complete the book?

Q. Alexandra is reading a book. She reads 20 pages in an hour. If she continuous at the same rate, how many pages would she have read after 4 hours?

Q. Ram Gopal reads

\frac{3}{5}

th of a book. He finds that there are still

80

pages left to be read. Total number of pages in the book are

Join BYJU'S Learning Program

Explore more

Method of Substitution to Find the Solution of a Pair of Linear Equations

Standard X Mathematics

Join BYJU'S Learning Program

Question 61 Reenu read 15th pages of a book. If she reads further 40 pages, she would have read 710th pages of the book. How many pages are left to be read?

Let the total pages of the book be x. According to the question, 15x+40=710x⇒40=710x−15x=7x−2x10⇒40=5x10⇒x=4005=80 ∴ Total pages of a book =80 Hence pages lef to be read = total pages of a book- (710x) =80−710×80 =80−56=24 pages

Question 61

Reenu read $\frac{1}{5} t h$ pages of a book. If she reads further 40 pages, she would have read $\frac{7}{10} t h$ pages of the book. How many pages are left to be read?