Question

The marks of rohan in maths and science is in the ratio of 8:5 . His marks in maths are 21 more tgan science find maths marks???​

Answer 1

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

Answer:

56

Step-by-step explanation:

$let \: the \: marks \: of \: maths \: be \: 8x \: and \: marks \: of \: science \: be \: 5x \\ as \: per \: question \\ = )8x - 5x = 21 \\ = )3x = 21 \\ = )x = 7$

$Marks \: of \: Maths = 8x \\ = )8 \times 7 \\ = )56$