document.write( "Question 230586: The difference of two numbers is 16. the larger number is 4 less than 3 times the smaller. Find the two numbers \n" ); document.write( "
Algebra.Com's Answer #170755 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The difference of two numbers is 16. The larger number is 4 less than 3 times the smaller. Find the two numbers\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let x be one and smaller number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Let 3x be three times the smaller number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Let x+16 be the other number since their difference is 16.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. Then x+16=3x-4 since since the larger number is 4 less than 3 times the smaller.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 5. Solving x+16=3x-4 leads to the following steps.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add 4-x to both sides of the equation to get only x terms on one side and only numbers on the other side.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B16%2B4-x=3x-4%2B4-x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"20=2x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide by 2 to both sides to find x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"20%2F2=2x%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=10\" and \"16%2B10=26\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check if larger number is 4 less than three times the smaller. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"26=3%2A10-4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"26=26\" which is a true statement\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The numbers are 10 and 26.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );