My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Thanks Tree1Thanks
  • 1 Post By romsek
Reply
 
LinkBack Thread Tools Display Modes
April 11th, 2018, 12:24 AM   #1
Member
 
Joined: Apr 2018
From: On Earth

Posts: 34
Thanks: 0

Days of the Week Question

In a particular month one year, there were an odd number of Tuesdays that fell on odd-numbered days of the month. What are the only possible days of the week that the 18th of the month could have been?

Does anyone know how to do this with working? Do you need to use algebra?
Student2018 is offline  
 
April 11th, 2018, 01:27 AM   #2
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: USA

Posts: 2,009
Thanks: 1042

Since the same day appears 7 dates apart we know that they will alternate even and odd dates. Thus there must have been 3 Tuesdays that fell on odd dates.

we can get away with this with the first Tuesday being either the 1st or the 3rd since months have no more than 31 days.

The 18th appears on friday if the the 1st is a tuesday, and on wednesday if the 3rd is a tuesday.
Thanks from Student2018
romsek is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
days, maths, question, tuesday, week



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Last problem of the week mathkid Algebra 2 February 24th, 2013 08:20 PM
In what order should I take these in a week sivela Math Books 1 June 22nd, 2010 09:41 AM





Copyright © 2018 My Math Forum. All rights reserved.