document.write( "Question 874582: Norman is 4 times as old his brother Nicholas. Their combined age is 15. How old is each boy? \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #527584 by mxgirl22(39)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Norman is 4 times as old his brother Nicholas. Their combined age is 15. How old is each boy? \r
\n" ); document.write( "\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "Step 1.) Label\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let Norman: N (Note: Norman is capital N)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let Nicholas: n (Note: Nicholas is lower case n)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------------------------
\n" ); document.write( "Step 2.) Look for keywords.\r
\n" ); document.write( "\n" ); document.write( "Norman is(=) 4 times(4x) as old his brother Nicholas(n). \r
\n" ); document.write( "\n" ); document.write( "Their combined(+) age is(=) 15. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Norman=\"4%2An\"\r
\n" ); document.write( "\n" ); document.write( "Nicholas=n\r
\n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------
\n" ); document.write( "Step 3.) Using the information we got in step 2, set up the equation.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%2An%29%2Bn=15\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------
\n" ); document.write( "Step 4.) Solve for \"n\" (Nicholas's age)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%2An%29%2Bn=15\"\r
\n" ); document.write( "\n" ); document.write( "\"4n%2Bn=15\"\r
\n" ); document.write( "\n" ); document.write( "\"5n=15\"\r
\n" ); document.write( "\n" ); document.write( "\"5n%2F5=15%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"n=3\"\r
\n" ); document.write( "\n" ); document.write( "Nicholas is 3 years old.\r
\n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------
\n" ); document.write( "Step 5.) Now that we know Nicholas's age, we can find Norman's age.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Using the answer in step 4) we know n=3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In step 2) we found out that Norman's age is: N=\"4%2An\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So now plug in n=3 into the equation to solve for Norman's age.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "N=\"4%2An\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "N=\"4%2A%283%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "N=12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Norman is 12 years old.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------
\n" ); document.write( "Step 6.) Check. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Remember, \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let Norman: N (Note: Norman is capital N)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let Nicholas: n (Note: Nicholas is lower case n)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"N%2Bn=15\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"12%2B3=15\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"15=15\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Checks!\r
\n" ); document.write( "\n" ); document.write( "------------------------------------------------------------
\n" ); document.write( "Step 7.) Answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Norman is 12 years old and Nicholas is 3 years old.
\n" ); document.write( "
\n" ); document.write( "
\n" );