Question

There are 2 teamsa and b. If 3 people are shifted from team a to team b, then team b has thrice the number of members than team a. If 2 people are shifted from team b to team a, then team b has double the number of members than team a. How many members does team b have originally?

Answer 1

Let the no. of people in team a = x

let the no. of people in team b = y

A.T.Q

3 ( X- 3 ) = (y +3)

3x -9. = y + 3

3x - y. = 12. eq 1

2( x+2) = (y-2)

2x +4. = y -2

2x + 6. = y. eq 2

putting eq 2 in eq 1

3x - 2x -6 =12

x = 18

putting the value of x in eq 2

2(18) +6. = y

36 +6 =y

42 = y