October 28th, 2009, 03:34 PM  #1 
Newbie Joined: Oct 2009 Posts: 3 Thanks: 0  The Math Test
Violet was taking a math test. On one problem she was given two positive whole numbers. The problem asked her to square the two numbers and add the squares together. Unforunately, Violet misinterpreted the question. She mistakenly added the two numbers first and squared the result. Her answer was 60 greater than the correct answer to the question. Find all possibilities for the orginal two numbers.

October 28th, 2009, 03:58 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,932 Thanks: 1127 Math Focus: Elementary mathematics and beyond  Re: The Math Test
Let a and b be the two numbers and let x be the value of a² + b². a² + b² = x (a + b)² = x + 60 Expand the lefthand side of (a + b)² = x + 60: a² + 2ab + b² = x + 60 Substitute x = a² + b²: a² + 2ab + b² = a² + b² + 60 2ab = 60, ab = 30, so a and b are factors of 30. 
October 30th, 2009, 06:25 AM  #3 
Newbie Joined: Oct 2009 Posts: 5 Thanks: 0  Re: The Math Test
Can you explain why you explaned the left side?

October 30th, 2009, 06:37 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,932 Thanks: 1127 Math Focus: Elementary mathematics and beyond  Re: The Math Test
To get a² + 2ab + b², which is easier to work with.


Tags 
math, test 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
What type of math does this test consist of?  TheDavid8  Algebra  5  June 16th, 2013 01:42 PM 
Im just reviewing my math test so I might need some help  Epic_Creed8283  Elementary Math  3  November 30th, 2012 02:19 PM 
free math test  Denis  Elementary Math  0  November 18th, 2012 12:03 PM 
Help on Math test  BradSteeves  Algebra  1  January 6th, 2010 08:19 PM 
working on a math 96 test  likemike25  Algebra  10  October 4th, 2009 05:37 PM 