Question 282584
Two consecutive page numbers would be, for example, 1 & 2 or 323 and 324 or x and x+1.
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x(x+1) = 600
x^2 + x - 600 = 0
(x-24)(x+25) = 0
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So there are two solutions:  x=24 and x=-25.
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But a negative page number does not make any sense.  So the answer is:
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x = 24
x+1= 25
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Done