May 2023 ASCE Newsletter | Page 7

A book has N pages , numbered the usual way , from 1 to N . The total number of digits in the page numbers is 1,095 . How many pages does the book have ?

CRANIUM CHALLENGE

MAY CHALLENGE

A book has N pages , numbered the usual way , from 1 to N . The total number of digits in the page numbers is 1,095 . How many pages does the book have ?

Please send you answers to Thomas Selling via e-mail : thomasselling @ me . com Correct responses will be recognized in the future issues of the New Hampshire Civil Engineer .

APRIL SOLUTION

( 9999-999 )/ 9 + 999-9 + 9-9 ( 9999 / 9999 )+ 999 + 999-9 999999-9 +( 9999 / 9999 ) 999 + 999-9 +( 9 / 9 )+ 999-999 = 1990 ( 9999 / 9 ) - ( 999 / 9 )+( 999-9 )+( 9-9 )
CORRECT RESPONSE FROM : Jeff Lloyd , PE ( WSP )
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