21. Vivek read 2/7 of a book on one day and 5/16 of remaining next day. If 275 pages of the book were still left
विवके ने किसी किताब का 2/7 भाग एक दिन में पढ़ा तथा बचे हुए भाग का 5/16 भाग दूसरे दिन पढ़ा। यदि उस किताब के 275 पन्ने अभी
और बिना पढे हुए बचे है। तो उस किताब में कितने पन्ने थे?
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Answers
☞Given:
Vivek read book on first'day =
Vivek read book on second day =
☆Solution :
Let the pages in the book be x.
No. of pages still unread = 275 pages .
No. of book read on first day =
No. of page read on next day / second day =
No. of pages unread = 275 pages
_______________________
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@ Dhruvshi23 ✨
Answer:
Given:
Vivek read book on first'day =
\frac{2}{7} of \: book
7
2
ofbook
Vivek read book on second day =
\frac{5}{16} of \: book
16
5
ofbook
☆Solution :
Let the pages in the book be x.
No. of pages still unread = 275 pages .
\begin{gathered} = \frac{x}{1} - \frac{2}{7} - \frac{5}{16} = 275 \\ = \frac{x}{1} - \frac{67}{112} = 275 \\ \frac{x}{1} = 275 + \frac{67}{112} \\ = \frac{x}{1} = \frac{275}{1} + \frac{67}{112} \\ = x = \frac{30800 + 67}{112} \\ x = \frac{30867}{112} \\ x = 275 \: pages \: \\ \\ \end{gathered}
=
1
x
−
7
2
−
16
5
=275
=
1
x
−
112
67
=275
1
x
=275+
112
67
=
1
x
=
1
275
+
112
67
=x=
112
30800+67
x=
112
30867
x=275pages
No. of book read on first day =
\begin{gathered} = \frac{2}{7} of \: book \: \\ = \frac{2}{7} \times 275 \\ = \frac{550}{7} \\ = 78 \: pages \: \end{gathered}
=
7
2
ofbook
=
7
2
×275
=
7
550
=78pages
No. of page read on next day / second day =
\begin{gathered} = \frac{5}{6} of \:book \: \\ = \frac{5}{6} \times 275 \\ = \frac{1375}{6} \\ = 85 \: pages \: \end{gathered}
=
6
5
ofbook
=
6
5
×275
=
6
1375
=85pages
No. of pages unread = 275 pages
\begin{gathered} = 78 + 85 + 275 \\ = 78 + 360 \\ = 438 \: pages \: \end{gathered}
=78+85+275
=78+360
=438pages
Step-by-step explanation: