Joaquin reads a book that has 96 pages. How many times does the digit "9" appear on the page numbers of the book?
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From 1 to 89 9 has appeared 9times and from 90 to 96 9 appears 7 times thus total 9+7=16 times
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'9' appears once in a set of 10 numbers (1,2,3....10).
in the given number , we can have nine 10 series and the other set of 6 numbers
nine 10 sets = 9*10 =90
1 set of 6 =6
total = 96
it is sure that 9 wont appear in the incomplete set of 6
and as there are 9 sets , there shall be nine 9s
moreover, as the question ask's for 9s occurring anytime, the nineties 9s will also be counted(90,91,92,93,94,95,96)
90,91,92,93,94,95,96
9 has again repeated 7 more time here
∴ in total 9 has appeared 16 times
(9 times for last digit and 7 times for ten's digit)
in the given number , we can have nine 10 series and the other set of 6 numbers
nine 10 sets = 9*10 =90
1 set of 6 =6
total = 96
it is sure that 9 wont appear in the incomplete set of 6
and as there are 9 sets , there shall be nine 9s
moreover, as the question ask's for 9s occurring anytime, the nineties 9s will also be counted(90,91,92,93,94,95,96)
90,91,92,93,94,95,96
9 has again repeated 7 more time here
∴ in total 9 has appeared 16 times
(9 times for last digit and 7 times for ten's digit)
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