In a class test, the sum of the marks obtained by P in Mathematics and science is 28. Had he got 3 marks more in Mathematics and 4 marks less in Science. The product of his marks, would have been 180. Find his marks in the two subjects.
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When marks obtained in maths are 9 , the marks in science are 15 .
When marks in maths are 12 , the marks in math are 12.
Let the marks obtained in maths and science be x and y respectively.
Given, sum = 28
=> x + y = 28
=> y = 28 - x
If P got 3 marks more in maths , marks in maths = x + 3
If P got 4 marks less in science , marks in science = y-4
Given , (x+3)×(y - 4) = 180
=> (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
When x = 9 , y = 24 - 9 = 15
When x = 12 , y = 24 -12 = 12
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