Question

21.
3 marks
In a class test, the sum of Rohan's marks in maths and
science is 28.Had he got 4 marks less in maths and 3 marks
more in science, the product of their marks would have
been 180.Find the marks obtained by him in 2 subjects?
Subjective​

Answer 1

Step-by-step explanation:

M +S =28

M =28-S

(M-4)*(S+3)=180

(28-S-4)*(S+3) =180

(24-S)(S+3) =180

-S²+21S+72 =180

S²- 21S +108=0

S²- 12S -9S +108=0

S(S-12)-9(S-12)=0

(S-12)(S-9)=0

S=12,9

If S=12, M = 28-12=16

If S =9, M =28-9=19