Question

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 the number of books. find the original number of books and note books ?​

Answer 1

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.

$\rightarrow$ (y - 5) = 4(40 - y)

$\rightarrow$ y - 5 = 160 - 4y

$\rightarrow$ y + 4y = 160 + 5

$\rightarrow$ 5y = 165

$\rightarrow$ y = 165/5

$\rightarrow$ y = 33

Books = 33

_____________________

★ Notebooks :

$\rightarrow$ 40 - 33

$\rightarrow$ 7

Notebooks = 7

There are -

• Books = 33
• Notebooks = 7

Therefore, there are 33 books and 7 notebooks.

Answer 2

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.