Q. 44.0( 8 Votes )

Kavi and Kural each had a number of apples. Kavi said to Kural “If you give me 4 of your apples, my number will be thrice yours”. Kural replied, “If you give me 26, my number will be twice yours”. How many did each have with them?.

Answer :

Let Kavi has x apples and Kural has y apples.


According to Kavi’s statement,


We can write


x + 4 = 3(y – 4)


x + 4 = 3y – 12


x = 3y – 16…..(1)


According to Kural’s statement


y + 26 = 2(x – 26)


y + 26 = 2x – 52…….(2)


Substituting the value of x from eq(1) in eq(2)


y + 26 = 2(3y – 16) – 52


y + 26 = 6y – 32 – 52


y + 26 = 6y – 84


5y = 110


y = 22


Substituting value of y in eq(1)


x = 3×22 – 16


x = 50


Hence, Kavi has 50 apples and Kural has 22 apples.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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