Question:

A, B, C and D have got some money with them. If A gives 8 rupees to B, B will have as much as C has and A will have 3 rupees less than what C has. Also, if A takes 6 rupees from C, A will have twice as much money as D. If B and D together have 50 rupees, how much money does A and B have respectively?

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Use algebraic equations to represent word problems, and solve them systematically.
Updated On: Aug 18, 2025
  • 29, 32
  • 27, 40
  • 32, 29
  • 40, 27
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The Correct Option is C

Solution and Explanation

Let the amounts with A, B, C, and D be \( a, b, c, \) and \( d \), respectively. The conditions are: 1. \( a - 8 = c + 3 \) (after transferring 8 rupees from A to B). 2. \( a = 2d + 6 \) (after A takes 6 rupees from C). 3. \( b + d = 50 \) (since B and D together have 50 rupees). By solving these three equations, we find \( a = 32 \) and \( b = 29 \).
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