If there are four numbers such that average of A and B is 29, average of B and C is 34 and average of C and D is 50, then what will be the average of A and D?
1). 34
2). 35
3). 44
4). 45
A + B = 2 × 29 = 58 ----(1)
B + C = 2 × 34 = 68 ----(2)
C + D = 2 × 50 = 100 ----(3)
Adding all these three equations, we get
A + 2B + 2C + D = 226
⇒ A + D = 226 – 2 × 68
⇒ A + D = 226 – 136
⇒ A + D = 90
So, average of A + D = 90/2 = 45