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#1 2016-07-28 15:26:31

MathWA
Member
From: Somewhere over the rainbow
Registered: 2016-05-22
Posts: 12
Website

Digit Apartment Help

Nicole owns an apartment building with 29 units. She is playing new numbers on the doors. How many digits will she need to buy if she starts with one and skips thirteen?
I think the answer is 47, but the answer is 49!
Please show your work! Thank you!


We cannot solve our problems with the same thinking we used when we created them.

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#2 2016-07-28 15:41:01

penbowl
Member
Registered: 2016-07-28
Posts: 3

Re: Digit Apartment Help

Ans: 49.
1 to 9= 9 digits
11 to 19= 9+9 = 18 digits (excluding 13)
20 to 30= 11+11=22 digits
Total = 9+18+22=49.

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#3 2016-07-28 15:45:37

MathWA
Member
From: Somewhere over the rainbow
Registered: 2016-05-22
Posts: 12
Website

Re: Digit Apartment Help

Thank you! smile :clap:


We cannot solve our problems with the same thinking we used when we created them.

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#4 2016-07-28 15:55:39

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Digit Apartment Help

Hi;

I like 49 too.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-07-28 17:12:28

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Digit Apartment Help

penbowl wrote:

Ans: 49.
1 to 9= 9 digits
11 to 19= 9+9 = 18 digits (excluding 13)
20 to 30= 11+11=22 digits
Total = 9+18+22=49.

You have excluded 10 not 13.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#6 2016-07-28 22:19:11

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Digit Apartment Help

Quick calculation is 29*2-9=49. Is the 13th apartment without any number on it? Then it is 47.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#7 2016-07-29 03:27:44

ElainaVW
Member
Registered: 2013-04-29
Posts: 580

Re: Digit Apartment Help

An apartment without a number on it? No way. The answer is 49.

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#8 2016-07-29 04:01:40

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Digit Apartment Help

Somewhat ambiguous question.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#9 2016-07-29 05:05:48

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Digit Apartment Help

The question could have been framed for which digit how many.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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