Question

in a class test the sum of marks of ram in maths and English is 30.had he got 2 marks more in maths and 3 marks less in English product of the marks would have been 210 find his marks in both subject​

Answer 1

Answer:

If he scores 12 marks in maths, his score in english is 18.

If he scores 12 marks in maths, his score in english is 18.If he scores 13 marks in maths, his score in english would be 17.

Step-by-step explanation:

Well, this question is from the chapter, Quadratic equation.

So, lets get into it.

Let marks scored by Ram in maths be x.

And the marks scored by him in english would be 30-x.

Now, the question says that, if he would have got 2 marks more in maths and 3 marks less in english, product of the resultant numbers would be 210.

So, if he get 2 marks more in maths, his marks in maths would be, x+2.

If he get 3 marks less in english, his marks in english would be 30-x-3=27-x

Now, product of resultant numbers,

$(x+2)(27-x)=210 \\</p><p>27x-x^2+54-2x=210\\</p><p>-x^2+25x+54-210=0\\</p><p>x^2-25x+156=0\\</p><p>x^2-13x-12x+156=0\\</p><p>x(x-13) -12(x-13)=0\\</p><p>(x-12)(x-13)=0\\</p><p>x=12, 13$

So, if Ram scored 12 marks in maths, his marks in english would be (30-12)=18.

But if he scored 13 marks in maths, his marks in english would be (30-13)=17.

Therefore, there are two answers.