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Nov 3rd, 2006, 05:20 AM
#1
Thread Starter
New Member
Urgent Help!
Hi, new to the forums and I am trying to resolve a dispute that has arrisen at work. Can anyone point me to the mathmatical proof for the following:
If you:
Take any two digit number (eg 38)
sum the two digits from this number (3+8 = 11)
Subtract the result from the origional number (38-11 = 27)
The answer will always be a multiple of 9.
Can someone show me why this is always the case?
Much appreciated.
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Nov 3rd, 2006, 05:37 AM
#2
Frenzied Member
Re: Urgent Help!
The multiple will always be the first digit.
(10a+b) - (a+b) = 9x
10a+b - a-b = 9x
10a - a = 9x
9a = 9x
a = x
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