Sum of marks in mathematics and english is 30 if she got 2marks more in mathematics and 3 marks less than in english the product of her marks is 210
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Mathematics --> x
English --> y
Eq1 x + y is 30 i.e x = 30 - y
Eq2 (x + 2)(y - 3) = 210
so, (30 - y + 2)(y - 3} = 210
(32-y)(y - 3) is 210
(-y^2 + 35y - 96) = 210
y^2 - 35y + 306 = 0
(y - 18)(y - 17) = 0
So, y is 18 or 17..
When y is 18, x is 17
when y is 17, x is 18
English --> y
Eq1 x + y is 30 i.e x = 30 - y
Eq2 (x + 2)(y - 3) = 210
so, (30 - y + 2)(y - 3} = 210
(32-y)(y - 3) is 210
(-y^2 + 35y - 96) = 210
y^2 - 35y + 306 = 0
(y - 18)(y - 17) = 0
So, y is 18 or 17..
When y is 18, x is 17
when y is 17, x is 18
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