document.write( "Question 1061388: Laura is four years less than twice her son's age. The sum of their ages is 119. How old is Laura? How old is her son? \n" ); document.write( "
Algebra.Com's Answer #676167 by HelpfulBro(2)![]() ![]() ![]() You can put this solution on YOUR website! We give representations:\r \n" ); document.write( "\n" ); document.write( "let l be the age of Laura \n" ); document.write( "let s be the age of Laura's son\r \n" ); document.write( "\n" ); document.write( "According to the problem, Laura is four years less than twice her son's age\r \n" ); document.write( "\n" ); document.write( "we write that as l = 2*s - 4 (we let this be equation 1)\r \n" ); document.write( "\n" ); document.write( "It also says there that The sum of their ages is 119:\r \n" ); document.write( "\n" ); document.write( "l + s = 119 (we let this be equation 2)\r \n" ); document.write( "\n" ); document.write( "What we do now is to use equation one in equation two (substitution) \r \n" ); document.write( "\n" ); document.write( "l + s = 119 \n" ); document.write( "(2*s - 4) + s= 119 \n" ); document.write( "3*s = 119 + 4 \n" ); document.write( "3*s = 123 \n" ); document.write( "s = 41\r \n" ); document.write( "\n" ); document.write( "So, the son's age is 41. Now we solve for Laura's age using equation 1\r \n" ); document.write( "\n" ); document.write( "l = 2*s - 4 \n" ); document.write( "l = 2*41 - 4 \n" ); document.write( "l = 82 - 4 \n" ); document.write( "l = 78\r \n" ); document.write( "\n" ); document.write( "Laura's age is 78.\r \n" ); document.write( "\n" ); document.write( "To check if we got it right,\r \n" ); document.write( "\n" ); document.write( "l+s = 119\r \n" ); document.write( "\n" ); document.write( "41 + 78 = 119\r \n" ); document.write( "\n" ); document.write( "119 = 119 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |