In A class test, the sum of the marks obtained by P in maths and science is 28. Had he got 3 marks more in maths and 4 marks less in science, the product of marks obtained in the 2 subjects would have been 180. Find the marks obtained by him in the two subjects separately
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solve further and u will get value of y.......put the value in equation 1 and get x ....
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Let Marks of P in Science is X
Math. is (28-X)
New marks
Science = (X-4)
Math = 28-X+3
= 31-X
ATQ
(X-4) ×(31-X) =180
31X-124-X^2+4X =180
X^2-35X+304=0
X^2-16X-19X+304=0
X(X-16)-19(X-16)=0
(X-16)(X-19)=0
X=16 or 19
So P s marks are
tex]\huge{\bold{\red{Math=12}}}[/tex]
Or
\huge{\bold{\orange{Math=9}}}[/tex]
Math. is (28-X)
New marks
Science = (X-4)
Math = 28-X+3
= 31-X
ATQ
(X-4) ×(31-X) =180
31X-124-X^2+4X =180
X^2-35X+304=0
X^2-16X-19X+304=0
X(X-16)-19(X-16)=0
(X-16)(X-19)=0
X=16 or 19
So P s marks are
tex]\huge{\bold{\red{Math=12}}}[/tex]
Or
\huge{\bold{\orange{Math=9}}}[/tex]
anushkaacharjee2003:
thanks
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