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Let the two numbers be X and Y

It is given that

1) X+Y = 45

Also

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

X= 5+20

X= 25

The two numbers are 25 and 20.

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