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Three numbers are such that the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, then the average of three numbers is equal to
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- 2
- 3.5
- 3
- 2.5
- 2
Correct Option: C
Numbers in order
⇒ a, b and c
According to question ,
∴ a + b = 2 × 2 = 4
b + c = 2 × 3 = 6
c + a = 2 × 4 = 8
On adding,
2 (a + b + c) = 4 + 6 + 8 = 18
| ⇒ a + b + c = | = 9 | |
| 2 |
| ∴ Required average = | = 3 | |
| 3 |
