Asked by Hope
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?
Answers
Answered by
Reiny
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.
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.
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