Q. 42 A4.3( 10 Votes )

In a class test, the sum of Kamal's marks in Mathematics and English is 40. Had he got 3 marks more in Mathematics and 4 marks less in English, the product of his marks would have been 360. Find his marks in two subjects separately.

Answer :

Let the marks scored in maths be ‘X’.


Marks in English is ‘(40–X)’.


As, per the question,


If he got 3 marks in maths & 4 marks less in English,


Marks in Maths =X+3


Marks in English = 40–X–4 = 36–X


Product = 360


(36 – X)(X + 3) = 360


(36X + 108 – X2 – 3X) = 360


(33X + 108 – X2) = 360


X2 – 33X + 360 – 108 = 0


X2 – 33X + 252 = 0


X2 – 21X – 12X + 252 = 0


X(X – 21) – 12(X – 21) = 0


(X– 12)(X – 21) = 0


X = 12 or 21


If marks in Maths = 12 then marks in English = 40 – 12 = 28


If marks in Maths = 21 then marks in English = 40 – 21 = 19


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