document.write( "Question 147348: One number is 17 more than another. If the greater number is increased by 3, the result is 5 times the smaller. What are the numbers? I have had everyone I know help me with this and we cannot work this problem. My last attempt yield me 17.75 greater number and 3.75 small.........that does not work. Help!! \n" ); document.write( "
Algebra.Com's Answer #107722 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=the smaller number; 5x=five times the smaller number \n" ); document.write( "Then x+17=the larger number \n" ); document.write( "x+17+3=x+20=larger number increased by 3\r \n" ); document.write( "\n" ); document.write( "Now we are told that: \n" ); document.write( "x+20=5x subtract x from each side\r \n" ); document.write( "\n" ); document.write( "x-x+20=5x-x collect like terms \n" ); document.write( "20=4x divide each side by 4\r \n" ); document.write( "\n" ); document.write( "x=5-----------------------the smaller number \n" ); document.write( "x+17=5+17=22 -------------the larger number\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "22+3=5*5 \n" ); document.write( "25=25\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |