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Question Number 115194 by 1549442205PVT last updated on 24/Sep/20

$$\mathrm{Find}\mathrm{a}\mathrm{three}-\mathrm{digits}\mathrm{number}\mathrm{whose}$$$$\mathrm{digits}\mathrm{form}\mathrm{a}\mathrm{geometry}\mathrm{progression}$$$$;\mathrm{if}\mathrm{you}\mathrm{known}\mathrm{that}\mathrm{after}\mathrm{substract}\mathrm{that}$$$$\mathrm{number}\mathrm{by}495,\mathrm{get}\mathrm{a}\mathrm{number}$$$$\mathrm{written}\mathrm{by}\mathrm{the}\mathrm{same}\mathrm{digits}\mathrm{as}\mathrm{the}$$$$\mathrm{number}\mathrm{you}\mathrm{are}\mathrm{looking}\mathrm{for}\mathrm{but}\mathrm{in}\mathrm{the}$$$$\mathrm{reverse}\mathrm{order};\mathrm{if}\mathrm{the}\mathrm{digits}\mathrm{of}\mathrm{the}$$$$\mathrm{number}\mathrm{obtained}\mathrm{after}$$$$\mathrm{substraction}\left(\mathrm{from}\mathrm{left}\mathrm{right}\right)\mathrm{reduced}$$$$\mathrm{by}1,1\mathrm{and}2\mathrm{respectively},\mathrm{you}\mathrm{obtain}$$$$\mathrm{an}\mathrm{arithmetic}\mathrm{progression}$$

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