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May 27, 2016
Posted by **Diamon** on Sunday, January 15, 2012 at 9:25am.

- Mathematics -
**Reiny**, Sunday, January 15, 2012 at 11:20amA now has x

B now has y

The wording is confusing.

Are the consecutive transfers of money, or are they independent events

Case1 : consecutive events

A gives $3 to b

A now has A-3, B has y+3

y+3 = 2(x-3)

y+3 = 2x - 6

2x - y = 9 , #1

B gives $5 to A

A now has x-3 + 5 = x+2

B now has y+3 - 5 = y - 2

x+2 = 2(y-2)

x+2 = 2y - 4

x - 2y = -6 , #2

#1 times 2

---> 4x-2y=18

#2 --> x - 2y = -6

subract:

3x = 24

x = 8

then y = 7

A has $8 and B has $7

first transfer, A give $3 to B

A has 5 , and B has 10 , Does B have twice A ? yup

2nd transfer , B gives $5 to A

A has 10 , B has 5, does A have twice of B ? , yup

Case 2: independent events:

A gives $3 to B

y+3 = 2(x-3)

y = 2x - 9

B gives $5 to A

A has x+5, B has y-5

x+5 = 2(y-5)

x = 2y - 10 - 5

x = 2(2x-9) - 15

x = 4x - 33

-3x = -33

x = 11

y = 13

This too can be verified.

Pick your interpretation.