Problem: There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, thenthe number of students in A is double the number of students in B. What is the number of students in room A?

View all: PROBASY KALYAN BANK (JO) | WRITTEN QUESTION (MATH) SOLVE | 2014

Correct Answer: ans: The number of students in room A = 100.

Explanation:

Let, the number of students in rooms A and B be x and y respectively.

Then, x-10 = y+ 10

=> x-y= 20 …………….(i)

and x+20=2(y—20)

=> x- 2y = – 6O……………… (ii)

Solving (i) and (ii) we get: x = 100,y = 80.

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