Question

A and B each has some money. If A gives Rs. 30 to B, then B will have twice the money left with A. But if B gives Rs. 10 to A, then A will have twice as much as is left with B. Then A and B has ______

Answer 1

Let money with them also be A and B, so

2(A - 30) = B + 30

2A - 60 = B + 30

2A - B = 90.....(1)

Now, we have

2(B - 10) = A + 10

2B - 20 = A + 10

A - 2B = -30.....(2)

Multiplying (2) by 2 and subtracting from (1), we get

2A - B - 2A + 4B = 90 + 60

3B = 150

B = 50

So, A - 100 = -30

A = 70

Therefore, A and B has 70 and 50 money respectively.

Answer 2

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