document.write( "Question 1151469: Ed and Carl are brothers. The sum of their ages and their father's age is 61 years. Ed is 5 years older than Carl and their father is 6 times as old as Carl. How old is Carl? \n" ); document.write( "
Algebra.Com's Answer #773218 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "E = Ed's current age \n" ); document.write( "C = Carl's current age \n" ); document.write( "F = their father's current age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Ed is 5 years older than Carl\", so, \n" ); document.write( "E = C+5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Their father is 6 times as old as Carl\", so, \n" ); document.write( "F = 6*C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We will use those two equations in the next upcoming equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"The sum of their (Ed and Carl) ages and their father's age is 61 years\", so, \n" ); document.write( "E+C+F = 61 \n" ); document.write( "C+5+C+F = 61 ..... plug in E = C+5 \n" ); document.write( "C+5+C+6C = 61 .... plug in F = 6C \n" ); document.write( "8C+5 = 61 \n" ); document.write( "8C+5-5 = 61-5 .... subtract 5 from both sides \n" ); document.write( "8C = 56 \n" ); document.write( "8C/8 = 56/8 ...... divide both sides by 8 \n" ); document.write( "C = 7 \n" ); document.write( "Carl is currently 7 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------------------------- \n" ); document.write( "Extra info:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Once we know how old Carl currently is, we can use his age to find the other two current ages.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "E = C+5 \n" ); document.write( "E = 7+5 \n" ); document.write( "E = 12 \n" ); document.write( "Ed is currently 12 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F = 6*C \n" ); document.write( "F = 6*7 \n" ); document.write( "F = 42 \n" ); document.write( "Their father is currently 42 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "E+C+F = 7+12+42 = 19+42 = 61 \n" ); document.write( "So the answer checks out. \n" ); document.write( " \n" ); document.write( " |