Question

In a class test, the sum of the marks obtained by Ravi mathematicians. science is 28. Had he got 3more marks in mathematics and 4marks less in science, the product of marks obtained in the twos subjects would have been180? Find the marks obtained by him in the two subjects separately.

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.