document.write( "Question 858602: I am three times as old as my son. Five years later I shall be two and a half times as old as my son. What is my age? \n" ); document.write( "
Algebra.Com's Answer #517271 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! F = 3S [I am three times as old as my son.] \n" ); document.write( "F + 5 = 2.5(S+5) [Five years later I shall be two and a half times as old as my son.] \n" ); document.write( "Substitute the known value of F from the first equation into the second. \n" ); document.write( "(3S) + 5 = 2.5(S+5) \n" ); document.write( "Distribute \n" ); document.write( "3S + 5 = 2.5S + 12.5 \n" ); document.write( "Subtract 2.5S from each side \n" ); document.write( ".5S + 5 = 12.5 \n" ); document.write( "Subtract 5 from each side \n" ); document.write( ".5S = 7.5 \n" ); document.write( "Multiply each side by 2 in order to get a full S \n" ); document.write( "S = 15 \n" ); document.write( ". \n" ); document.write( "If the son is 15, the father is 45. \n" ); document.write( "Let's plug it into the equation to make certain it's correct. \n" ); document.write( "45 + 5 = 2.5 * 20 \n" ); document.write( "50 = 50 \n" ); document.write( "Success! \n" ); document.write( " |