Tom has more money than Bob. If Tom gave Bob R20 , they would have the same amount. While if Bob gave Tom R22 , Tome would then have twice as much as Bob. How much does each one actually have?

1 answer

Tom's amount --- x
Bob's amount --- y

case 1: tom gives 20 to bob
Tom now has x+20
Bob has y-20
x+20 = y-20
x - y = -40

case2: Bob gives tom 22
Bob has y-22
Tom has x + 22
x+22 = 2(y-22)
x+22 = 2y - 44
x - 2y = -66

subtract these equations:
y = 26
sub back in
x - 26 = -40
x = -14

flaw in problem
Unless the second transfer of money happens after the first transfer.
This is not clearly stated.