Q. 54.3( 27 Votes )

In a class test, the sum of Moulika’s marks in Mathematics and English is 30. If she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks have been 210. Find her marks in the two subjects.

Answer :

Maths = 12, English = 18 (or)

Maths = 13, English = 17


Let marks in Mathematics be x , marks in English be 30 - x


When marks in Mathematics is increased by 2 it becomes x + 2


When marks in English is decreased by 3 it becomes 27 - x


According to the problem the product of the two marks is 210


(x + 2)(27 - x) = 210


- x2 + 25x + 54 = 210


x2 - 25x + 156 = 0


Performing factorization we get:


x2 - 13x - 12x + 156 = 0


x(x - 13) - 12(x - 13) = 0


(x - 12)(x - 13) = 0


x = 12,13


There will be two answers


Mathematics = 12 ,English = (30 - 12) = 18


Mathematics = 13, English = (30 - 13) = 17


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Bonus Questions on Solutions of Quadratic EquationsBonus Questions on Solutions of Quadratic EquationsBonus Questions on Solutions of Quadratic Equations31 mins
Get To Know About Quadratic FormulaGet To Know About Quadratic FormulaGet To Know About Quadratic Formula42 mins
Smart Revision | Quadratic EquationsSmart Revision | Quadratic EquationsSmart Revision | Quadratic Equations53 mins
Quiz | Knowing the Nature of RootsQuiz | Knowing the Nature of RootsQuiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphsTake a Dip Into Quadratic graphsTake a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for FoundationFoundation | Practice Important Questions for FoundationFoundation | Practice Important Questions for Foundation54 mins
Learn to Find Nature of RootsLearn to Find Nature of RootsLearn to Find Nature of Roots25 mins
Smart Revision | Learn to Find the Nature of RootsSmart Revision | Learn to Find the Nature of RootsSmart Revision | Learn to Find the Nature of Roots34 mins
Nature of Roots of Quadratic EquationsNature of Roots of Quadratic EquationsNature of Roots of Quadratic Equations51 mins
Getting Familiar with Nature of Roots of Quadratic EquationsGetting Familiar with Nature of Roots of Quadratic EquationsGetting Familiar with Nature of Roots of Quadratic Equations51 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :