A and B each have some money. If A gives Rs 30 to B, then B will have twice as much as A. If B gives Rs 10 to A, then A will have three times as much as B. How much money (in Rs) does A have?

Question

Accepted Answer

Rs 62. If A gives 30: B+30 = 2(A-30) -> 2A - B = 90. If B gives 10: A+10 = 3(B-10) -> A - 3B = -40. Solve: from first B = 2A-90; substitute: A - 3(2A-90) = -40 -> A - 6A + 270 = -40 -> -5A = -310 -> A = 62.

A and B each have some money. If A gives Rs 30 to B, then B will have twice as much as A. If B gives Rs 10 to A, then A will have three times as much as B. How much money (in Rs) does A have?

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