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 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: 7,958 Thanks: 1146 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 left-hand 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: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: The Math Test To get a² + 2ab + b², which is easier to work with.

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# 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.

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