Q. 3 A4.0( 9 Votes )

# Represent the following situations mathematically:John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

Let ‘x’ be the number of marbles John had.

Jivanti will have 45 − x marbles.

[ the total number of marbles is 45]

As both of them lost 5 marbles each; marbles they now have will be x − 5 and 40 − x respectively.

Product of the number of marbles = (x − 5) (40 − x)

40x − x2 − 200 + 5x = 124 [ the product is 124]

x2 − 45x + 324 = 0

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Get To Know About Quadratic Formula42 mins  Quiz | Knowing the Nature of Roots44 mins  Take a Dip Into Quadratic graphs32 mins  Foundation | Practice Important Questions for Foundation54 mins  Nature of Roots of Quadratic Equations51 mins  Getting Familiar with Nature of Roots of Quadratic Equations51 mins  Quadratic Equation: Previous Year NTSE Questions32 mins  Understand The Concept of Quadratic Equation45 mins  Champ Quiz | Quadratic Equation33 mins  Quiz | Lets Solve Imp. Qs of Quadratic Equation43 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 view all courses 