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Asked by Rakesh Last Modified
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Chandresh K R
Tutor
Answer:- (Maths=12, Science=16) or (Maths=9, Science=19).
Explaination:-
Let the marks in mathematics be X
Then marks in science = 28 - x (according to the first condition)
Now according to second condition;
(X + 3) x [(28 - x) - 4 ] =180
then on solving, we get; X = 12 or X = 9
Therefore,
The marks in mathematics and science (respectively) will be 12 & 16 or 9 & 19.
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Let the marks obtained in science be x
Marks obtained in maths = 28-x
If 3 more in maths and 4 less in science, then product=180
=> (28-x+3)(x-4)=180
=> (31-x)(x-4)=180
=> 31x-x2+4x-124=180
=> x2-35x+304=0
=x2-19x-16x+304=0
=> x(x-19)-16(x-19)=0
=> (x-16)(x-19)=0
=> x=16,19
=> Science mark=16,12
=> Maths mark=9,19
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