1.

electrosteel sum of marks in maths and science is 28 had he got for less marks in maths and three more marks in Science the product of his marks should have been 180 find his marks in 2 subjects​

Answer»

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


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