Question

The ratio of marks obtained by
Rakesh , snigdha, atzel in an
examination is 12: 8:15 . Find
marks c obtained by snigdha and atzel, if Rakesh scored 15
less than that of atzel.​

Answer 1

$\mathfrak{\huge{Answer:}}$

$\mathbb{GIVEN}$

Ratio of marks of Rakesh, Snigdha, Atzel = 12 : 8 : 15

Rakesh scored 15 marks less than Atzel

$\mathbb{TO\:FIND}$

The marks scored by Rakesh, Snigdha and Atzel

$\mathbb{METHOD}$

We will let the marks of the three students to be = 12x, 8x, and 15x ( these assumptions have been made by seeing the ratio given to us in the question )

Now, we're given that the marks of Rakesh are 15 less than that of Atzel. This means :-

12x = 15x - 15

=》 15x - 12x = 15

=》 3x = 15

=》 x = 5

12x = 12 × 5 = 60 marks

8x = 8 × 5 = 40 marks

15x = 15 × 5 = 75 marks

Thus, the answer will be $\tt{\huge{40,\:60\:and\:75\:marks}}$

Answer 2

Question :

The ratio of marks obtained by Rakesh , Snigdha, Atzel in an examination is 12 : 8 : 15. Find the marks obtained by Snigdha and Atzel, if Rakesh scored 15 less than that of atzel.

Answer : 40 marks and 75 marks respectively.

Step by step explanation :

Given that,

Ratio of marks obtained by

Rakesh , Snigdha, Atzel in an examination = 12 : 8 : 15

Rakesh scored 15 marks less than that of Atzel.

Now,

Let's assume that the marks scored by Rakesh, Snigdha and Atzel are 12x , 8x and 15x respectively.

Now,

As per the given condition,

12x = 15x - 15

Taking variable on one side and coefficient on other side, we get :

15x - 12x = 15

3x = 15

x = 5

Now,

We have to find the marks scored by Snigdha and Atzel.

Marks scored by Snigdha =

8x = 8 × 5 = 40 marks

Marks scored by Atzel

= 15x = 15 × 5 = 75

Hence,

Snigdha scored 40 marks while Atzel scored 75 marks.

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