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

Answer 1

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student-name Neno Brey asked in Math
Al Falah International Delhi Public School
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 the two subjects.
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student-name Titiksha Sharma answered this
55 helpful votes in Math, Class VIII
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

Answer 2

Answer:

Step-by-step explanation:

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