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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?

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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


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1 answers

2 vote
Answered by on | Votes 2 |

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

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