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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 =180 then on solving, we get; X = 12 or X = 9 Therefore, The marks in mathematics...

read more 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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Comments

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 =>...

read more 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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Comments

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