In a class test the sum of shefali is marks in maths and english is 30 has she got 2 marks more in maths and 3 marks less in english the product of their marks would have been 210 find her marks in the two subjects
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let the shefali marks is x in math and y in English
Then x+y=30
Then (x+2) (y-3) =210
Then equation = x = 30 - y
Then (30-y-2)(y-3)=210
(28-y) ( y-3) =210
28y-72 -y^2+3y =210
30y -y^2-72-210=0
y^2 -31y+-282=0
Then solve this quadratic equation
Then x+y=30
Then (x+2) (y-3) =210
Then equation = x = 30 - y
Then (30-y-2)(y-3)=210
(28-y) ( y-3) =210
28y-72 -y^2+3y =210
30y -y^2-72-210=0
y^2 -31y+-282=0
Then solve this quadratic equation
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