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Suppose the first number is x.

Then the second number is x+1.

A fourth of the first number is x/4

A fifth of the second number is (x+1)/5

So the equation is x/4 = (x+1)/5 + 1

Multiplying though by 20: 5x = 4x + 4 + 20 = 4x + 24

Subtracting 4x from both sides: x = 24

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