Question

Prunita got 30 werks more in Math than what
she got in Science. Her Math marks are 60%
of the sum of her Math and Science marks
What are her Science marks?​

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.

Answer 2

Step-by-step explanation:

m = 30+s

m = 60% (m+s)

m= 0.6(m+s) = 0.6m + 0.6s

m-0.6m = 0.6s

0.4m = 0.6s

m = 0.6/0.4 s = 3/2 s

m=30+s

3/2 s-s = 30

1/2 s = 30

s=60

m= 60+30 = 90