Question

Marks obtained by two students are in ratio of 7:5 the product of their marks is 2835 what are the total marks obtained by both the students together indiabix

Answer 1

prefer the image for the solution

Answer 2

Answer:

108

Step-by-step explanation:

Given:

Marks obtained by two students are in ratio$7:5$.

Suppose that the marks obtained by the first student be 7x and the marks obtained by the second student be 5x.

Given that the product of there marks is 2835 so,

$7x\times 5x=2835\\ \Rightarrow\;\;\;35x^2=2835\\ \Rightarrow\;\;\;x^2=\dfrac{2835}{35}\\ \Rightarrow\;\;\;x^2=81\\ \Rightarrow\;\;\;x=\pm 9$

Since the marks are not supposed to be negative:

$x=9$

The marks obtained by the first student $=7\times 9$

The marks obtained by the first student $=63$

The marks obtained by the second student $=5\times 9$

The marks obtained by the second student $=45$

So the total marks obtained by both the students $=63+45$

So the total marks obtained by both the students $=108$