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ANSWER: 50 and 5

Let:

x = the first factor of 100

y = the other factor of 100

Equation 1: x + y = 55

Equation 2: x - y = 45

By elimination:

x + y = 55

x - y = 45

=========

2x = 100

x = 50

substitute x=50 to Equation 1:

x + y = 55

50 + y = 55

y = 55 - 50

y = 5

Check:

Substitute x=50 and y=5 in Equation 2:

x - y = 45

50 - 5 = 45

45 = 45

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