document.write( "Question 1005425: Five years ago, a father was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their own and present ages. \n" ); document.write( "
Algebra.Com's Answer #622157 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call their ages NOW, f and s. Then we have \n" ); document.write( "f - 5 = 7(s - 5) and \n" ); document.write( "f + 5 = 3(s + 5) \n" ); document.write( "Solve the first one for f and substitute that into the second equation... \n" ); document.write( "f = 7(s - 5) + 5 = 7s - 35 + 5 = 7s - 30 \n" ); document.write( "and now substituting \n" ); document.write( "7s - 30 + 5 = 3(s + 5) \n" ); document.write( "7s - 25 = 3s + 15 \n" ); document.write( "4s - 25 = 15 \n" ); document.write( "4s = 40 \n" ); document.write( "s = 10 \n" ); document.write( "f is then 40. \n" ); document.write( " |