document.write( "Question 847441: Megan has 3 game scores that happen to be square numbers. The first 2 scores have the same 3 digits the total of the 3 scores is 590. what are the 3 scores? \n" ); document.write( "
Algebra.Com's Answer #510487 by swincher4391(1107) You can put this solution on YOUR website! Call the square numbers x,y,z.\r \n" ); document.write( "\n" ); document.write( "We know that and that x and y are both three digit numbers and that the digits are the same.\r \n" ); document.write( "\n" ); document.write( "The only numbers with this property is 13^2 = 169 and 14^2 = 196. You can either know this or list out all the three digit squares until you realize it.\r \n" ); document.write( "\n" ); document.write( "We add 169+196 = 365\r \n" ); document.write( "\n" ); document.write( "590 - 365 = 225 <--- which is a perfect square (15^2)\r \n" ); document.write( "\n" ); document.write( "So the numbers are 169,196,225. \n" ); document.write( " \n" ); document.write( " |