number = input("Please enter a number: ")
while number != 100:
    additional_number = input("Please enter an additional number: ")
    if additional_number + number > 100:
        lower_number = input("please enter a lower number: ")
   
you can just 'continue' here since the while loop asks for a new 
number anyhow. It xchanges the behaviour salightly in that it never 
allows a number that sums to more than 100 whereas you allow 
only two attempts.


        if lower_number + number > 100:
            lower_number = input("Lower!")
        else:
            number = lower_number + number
    elif additional_number + number < 100:

so the lines above become unnecessary.

        number = additional_number + number

    else:
        continue

you don't need the last else/continue, thats pythons standard behaviour.

Alan G
Author of the learn to program web tutor
http://www.freenetpages.co.uk/hp/alan.gauld


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