A, B and C share $112. B receives $12 less than A anil C gets twice as much as B. How much does C get?
- 34
- 44
- 50
- None of these
Explanation
We're given:
- A + B + C = 112
- B = A - 12
- C = 2B
We can substitute B in the first equation using the second equation:
A + (A - 12) + C = 112 2A + C - 12 = 112 2A + C = 124
Now, we can substitute C using the third equation:
2A + 2B = 124
We know B = A - 12,
so: 2A + 2(A - 12) = 124 2A + 2A - 24 = 124 4A = 148 A = 37
Now we can find B and C: B = A - 12 = 37 - 12 = 25 C = 2B = 2 * 25 = 50
Therefore, C gets $50.
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