Question

in a class test the sum of marks obtained by p in maths and science is 28 had he got 3 more in maths and 4 lass in science the product is 180 find mark obtained in two subjects in quadratic equations ​

Answer 1

Answer:

x=12,9⇒y=16,19.

Step-by-step explanation:

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.

Answer 2

Step-by-step explanation:

[P\] had got 3 marks more in mathematics, the marks would be \[x + 3\]. \[P\] had got 4 marks less in science, the marks would be \[28 - x - 4\]. So, the marks scored in mathematics can be 9 or 12.