Mamata ha some books and note books which are together 40 in number. If she had 5 less books the number of note would be 4 times t

2 thoughts on “Mamata ha some books and note books which are together 40 in number. If she had 5 less books the number of note would be 4 times t”

1. Answer:

   Notebooks are 7 and books are 33.

   Step-by-step explanation:

   Consider books with Mamata as x, and notebooks as y.

   ~First Condition:

   ==> x + y = 40

   ==> x = 40 – y —– (I)

   ~Second Condition:

   ==> 4 times notebook = Books – 5

   ==> 4(y) = x – 5

   ==> 4y = (40 – y) – 5 —– (Substitute EQ. 1)

   ==> 4y = 35 – y

   ==> 4y + y = 35

   ==> 5y = 35

   ==> y = 35/5

   ==> y = 7

   Notebooks are 7.

   ~Books :

   ==> x = 40 – 7

   ==> x = 33

   Books are 33

   .°. Notebooks are 7 and books are 33.

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2. Answer:

   There are 33 books and 7 notebooks.

   Step-by-step explanation:

   Mamata has 40 books and notebooks in total.

   If 5 books are less, notebooks will be 4 times of books.

   Let,

   • Books be y
   • Notebooks be (40 – y)

   According to the Question,

   If 5 books are less, notebooks will be 4 times of books.

   [tex]\rightarrow[/tex] (y – 5) = 4(40 – y)

   [tex]\rightarrow[/tex] y – 5 = 160 – 4y

   [tex]\rightarrow[/tex] y + 4y = 160 + 5

   [tex]\rightarrow[/tex] 5y = 165

   [tex]\rightarrow[/tex] y = 165/5

   [tex]\rightarrow[/tex] y = 33

   Books = 33

   _____________________

   ★ Notebooks :

   [tex]\rightarrow[/tex] 40 – 33

   [tex]\rightarrow[/tex] 7

   Notebooks = 7

   There are –

   • Books = 33
   • Notebooks = 7

   Therefore, there are 33 books and 7 notebooks.

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