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Let the two numbers be X and Y
It is given that
1) X+Y = 45
2) X-Y = 5
Solving equation 2 for X, we get
3) X = 5+Y
Substituting this value in equation 1, we get
5+Y + Y = 45
5+2Y = 45
2Y = 45-5 = 40
Y = 40/2 = 20
substituting the value of Y=20 in equation 3, we get
X = 5+Y
The two numbers are 25 and 20.
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