In a class test, the sum of marks obtained by P in Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180? Find the marks obtained in two subjects separately.
Please answer if you know
It's a question of arithmetic progression
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Step-by-step explanation:
(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
thank you
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