Question

Q6.In Maths test, Aditi got 12 more marks than Rohan .tf Aditi's marks are 54 % of th
sum of their marks, find the marks obtained by each of them.
(3)​

Answer 1

Answer:

Let P has obtained x in mathematics and y in science.

Then by the problem,

x+y=28.......(1).

If P would have got 3 marks more in mathematics, then P would have got (x+3) in mathematics and if P would have got 4 marks less in science then P would have got (y−4) in science.

Also

(x+3)(y−4)=180

or, (x+3)(24−x)=180

or, 72+21x−x

2

=180

or, x

2

−21x+108=0

or (x−12)(x−9)=0

or, x=12,9⇒y=16,19.

There may be two situation.

P obtained 12 marks in mathematics and 16 in science.

or,

P obtained 9 marks in mathematics and 19 in science.