document.write( "Question 391902: Steve is three times as old as Theresa. In four years he will be twice as old as she will be. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #278103 by AnubhavRane(4)![]() ![]() ![]() You can put this solution on YOUR website! Let, \n" ); document.write( "S = Steve's age today \n" ); document.write( "T = Teresa's age today\r \n" ); document.write( "\n" ); document.write( "After four years their ages will be- \n" ); document.write( "Steve : S + 4 \n" ); document.write( "Teresa: T + 4\r \n" ); document.write( "\n" ); document.write( "Now let's write their relationships \n" ); document.write( "Today : S = 3T ....(I) \n" ); document.write( "After 4 years: S + 4 = 2(T + 4) ....(II)\r \n" ); document.write( "\n" ); document.write( "Let's substitute S = 3T from equation (I) into equation (II) \n" ); document.write( "3T + 4 = 2(T + 4) \n" ); document.write( "3T + 4 = 2T + 8 \n" ); document.write( "3T - 2T = 8 - 4 \n" ); document.write( "T = 4 years ... this is Tersa's age today \n" ); document.write( "So Steve's age must be 3T = 3 x 4 = 12 years \n" ); document.write( " |