document.write( "Question 1192468: Twice a number added to half of itself equals 20.Find the number \n" ); document.write( "
Algebra.Com's Answer #824340 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = some unknown number \n" ); document.write( "2x = twice the number \n" ); document.write( "x/2 = 0.5x = half of the number \n" ); document.write( "2x + 0.5x = adding the two previous expressions \n" ); document.write( "2x + 0.5x = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving for x \n" ); document.write( "2x + 0.5x = 20 \n" ); document.write( "(2 + 0.5)x = 20 \n" ); document.write( "2.5x = 20 \n" ); document.write( "x = 20/(2.5) \n" ); document.write( "x = 8 \n" ); document.write( "The unknown number is 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 2*8 = 16 is the result after doubling \n" ); document.write( "x/2 = 8/2 = 4 is the result after halving \n" ); document.write( "Sum = 16+4 = 20 which confirms we have the correct x value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 8 \n" ); document.write( " \n" ); document.write( " |