Question
Let A, B and C be three positive integers such that the sum of A and the mean of B and C is 5. In addition, the sum of B and the mean of A and C is 7. Then the sum of A and B is
- 6
- 5
- 7
- 4
Option: 1
Solution:
Solution:
Given A, B and C are positive integers such that \(A + \frac{{B + C}}{2} = 5 \cdots (1)\)
\(B + \frac{{A + C}}{2} = 7 \cdots (2)\)
\((2) - (1) \Rightarrow \frac{B}{2} - \frac{A}{2} = 2 \Rightarrow B - A = 4\)
The least value for A=1 in which case B=5.
Hence \(A + B = 6\)
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