Question

In a class test, the sum of the marks obtained by p in mathematics and science is 28. Had he got 3 more marks in maths and 4 marks less in science, the product of marks obtained in the two subjects would have been 180. Find the marks obtained in the two subjects separately.

Answer 1

Answer:

two possibilities

m s 9 & 19 repectively

or 12 & 16 respectively

Step-by-step explanation:

m+s=28

(m+3)(s-4)=180

(m+3)(28-m-4)=180

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

-sqm + 21m +72 = 180

sqm -21m + 108 = 0

(m-9)(m-12)=0

so m = 9 or 12

so s = 19 or 16

Answer 2

two possibilities

m s 9 & 19 repectively

or 12 & 16 respectively

Step-by-step explanation:

m+s=28

(m+3)(s-4)=180

(m+3)(28-m-4)=180

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

-sqm + 21m +72 = 180

sqm -21m + 108 = 0

(m-9)(m-12)=0

so m = 9 or 12

so s = 19 or 16