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Find a and b

This is a discussion on Find a and b within the Brainteasers forums, part of the Brain Gym category; what is the value of a and b if a^b+b^a=100...

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Old 03-29-2007
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Find a and b

what is the value of a and b if
a^b+b^a=100
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Old 03-29-2007
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Re: Find a and b

two possibilities
a=1,b=99 or reverse
a=6,b=2
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Old 03-30-2007
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Re: Find a and b

Any number ( > 1 ) can be expressed in form of a^b + b^a
If number is X
then X = (X-1) ^ 1 + 1^(X-1)

so a = X-1 and b = 1
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