My Math Forum  

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

Algebra Pre-Algebra and Basic Algebra Math Forum

LinkBack Thread Tools Display Modes
March 4th, 2010, 12:42 PM   #1
Senior Member
Joined: Jan 2009

Posts: 344
Thanks: 3

Curious problems

1. Paul has twice as many brothers as sisters. His sister Mary has five times as many brothers as sisters. How many sons do their parents have?

2. Find the largest real value of b such that the solutions to the following equations are integers where . = . Please express your answer in simplest radical form.

3. Triangle A has sides of length 3, 5 and 7. Triangle B has sides of length 7, 8 and 13. Triangle A and triangle B have one angle in common. Find the measure of that angle in degrees.

4. Let x be an integer such that If x is chosen at random, determine the probability that it will be a solution to the system of inequalities and

Thank you
sivela is offline  
March 4th, 2010, 02:45 PM   #2
Senior Member
Joined: Mar 2007

Posts: 428
Thanks: 0

Re: Curious problems

What do you think it is that makes them curious? Without doing the math, but just "curious", I tried #3 using a CAD program, suspecting it might be incorrect. I did not find any angle in the one triangle to be the exact same as that in the other. Close, perhaps, but close doesn't count.
David is offline  
March 4th, 2010, 06:03 PM   #3
Global Moderator
Joined: Dec 2006

Posts: 20,469
Thanks: 2038

1. If their parents have m sons and n daughters, m - 1 = 2n and m = 5(n - 1), so m = 5 (and n = 2).

2. Does the use of the word "integers" mean that the equation must have more than one integer solution?

3. By the cosine rule, the cosine of each triangle's obtuse angle is -1/2, so that angle is exactly 120.

4. The only integer x such that 10 ? x ? 10 is 10. Is the question typed correctly?
skipjack is offline  

  My Math Forum > High School Math Forum > Algebra

curious, problems

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
curious question islam New Users 4 March 26th, 2011 11:17 AM
Curious conjecture m3ntol Number Theory 5 March 15th, 2011 01:27 PM
Some curious problems sivela Number Theory 1 March 4th, 2010 02:38 PM
Just curious about something... sixflags11804 Complex Analysis 2 December 1st, 2008 03:43 PM
curious question islam Number Theory 0 December 31st, 1969 04:00 PM

Copyright © 2019 My Math Forum. All rights reserved.