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 two subjects would have been 180.Comfind the marks obtainedin the two sibjects 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 12if 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 sciencehope it helps u

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