Question

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 the marks would have been 360. Find his marks in two subjects separately.

Answer 1

LET MARKS IN MATHS=$X$

MARKS IN ENGLISH=$40-X$

IF HE GOT 3 MORE IN MATHS,GOT 4 LESS IN ENGLISH

MARKS IN MATHS=$X+3$ M,MARKS IN ENGLISH=$40-X-4=36-X$

PRODUCT=360

$(36-X)(X+3)=360$

$(36X+108-X^2-3X)=360$

$(33X+108-X^2)=360$

$X^2-33X+360-108=0$

$X^2-33X+252=0$

$X^2-21X-12X+252=0$

$X(X-21)-12(X-21)=0$

$(X-12)(X-21)=0$

$X=12,21$

IF MARKS IN MATHS=12 THEN MARKS IN ENGLISH=40-12=28

IF MARKS IN MATHS=21 THEN MARKS IN ENGLISH=40-21=19