document.write( "Question 230401: find 2 consecutive even integers such the twice the smaller diminished by twenty is equal to the larger \n" ); document.write( "
Algebra.Com's Answer #170625 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! We need 2 Equations with 2 Variables.\r \n" ); document.write( "\n" ); document.write( "Consecutive even numbers have a difference of 2. For example, 4-2=2. 6-4=2,8-6=2.\r \n" ); document.write( "\n" ); document.write( "Let x= the larger number \n" ); document.write( "Let y= the smaller number\r \n" ); document.write( "\n" ); document.write( "I assumed that \"diminished by twenty\" means subtract 20.\r \n" ); document.write( "\n" ); document.write( "Eqn 1: x-y=2 \n" ); document.write( "Eqn 2: 2y-20=x\r \n" ); document.write( "\n" ); document.write( "Eqn 1: x=2+y\r \n" ); document.write( "\n" ); document.write( "Sub this into Eqn 2:\r \n" ); document.write( "\n" ); document.write( "2y-20=2+y \n" ); document.write( "y=22\r \n" ); document.write( "\n" ); document.write( "Sub this answer into Eqn 1:\r \n" ); document.write( "\n" ); document.write( "x-22=2 \n" ); document.write( "x=24\r \n" ); document.write( "\n" ); document.write( "The two numbers are 24 and 22. \n" ); document.write( " |