Question

In a test, Vivek secured 4 marks more in
Marathi than the marks he secured in Maths.
9 times of the marks he secured in Marathi is
equal to the square of the marks in Maths.
ind his marks in Marathi and Maths in a test.
th​

Answer 1

Answer:

marks in maths = 12

marks in marathi = 16

Step-by-step explanation:

let marks in maths be x

marathi marks = 4 + x

A/Q, 9× marathi marks = (x)^2

9×(4+x) = x^2

36+9x = x^ 2

x^2 - 9x - 36 = 0

x^2 +3x-12x -36 = 0

x(x+3) -12 (x+3) =0

x-12=0. or. x+3 =0 (neglected)

x= 12

therefore,. marks in maths = 12

marathi marks = 12 +4 = 16

Answer 2

Step-by-step explanation:

Let marks in maths be x

Marathi marks = 4+x

9+(4+x)=x^2

36+9x=x^2

x^2-9x-36=0

x^2+3x-12x-36=0

x(x+3)-12(x+3)=0

x-12=0 or x+3=0

x=12

Therefore, Marks in Math Test = 12

Marks in Marathi Test = 4+x

=4+12

=16