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:

Step-by-step explanation:

Let the marks obtained in mathematics be x then marks in science be 28-x

acc,

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

⇒(x+3)(24-x)=180

⇒24x-x²+72-3x=180

⇒21x-x²-180=0

⇒x²-21x+180=0

⇒x²-12x-9x+108=0

⇒x(x-12)-9(x-12)=0

⇒(x-9)(x-12)=0

∴x=9,12

the marks scored in maths can be 9 or 12

if she got 12 in maths then she got 28-12=16 in science

if she got 9 in maths then she got 28-9=19 in science

Answer 2

Answer:

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

⇒(x+3)(24-x)=180

⇒24x-x²+72-3x=180

⇒21x-x²-180=0

⇒x²-21x+180=0

⇒x²-12x-9x+108=0

⇒x(x-12)-9(x-12)=0

⇒(x-9)(x-12)=0

∴x=9,12

the marks scored in maths can be 9 or 12

if she got 12 in maths then she got 28-12=16 in science

if she got 9 in maths then she got 28-9=19 in science