document.write( "Question 754317: Sum of three numbers is twenty five the second number is twice the first the third number exceed the second by five find the numbers
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Algebra.Com's Answer #458988 by anteater(7)![]() ![]() ![]() You can put this solution on YOUR website! Call your first number x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your second number is twice the first, so it is 2x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your third number exceeds the second number by 5, so it is 2x + 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When you add these three numbers up, the sum is 25:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2x + (2x + 5) = 25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine \"like\" terms:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x + 5 = 25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, isolate (or solve for) x. First, subtract 5 from both sides of the equation:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x + 5 - 5 = 25 - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, divide both sides of the equation by 5:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x/5 = 20/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So our first number is 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The second number is twice this, or 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The third number exceeds 8 by 5. Since 8 + 5 = 13, 13 is our third number.\r \n" ); document.write( "\n" ); document.write( "Finally, \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 + 8 + 13 = 25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope this was helpful! :)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |