document.write( "Question 752660: A is twice as old as B, and C is 5 years younger than B. 3 years from now, A will be 3 times as old as C. Find the ages of A,B and C \n" ); document.write( "
Algebra.Com's Answer #457945 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! A = 2B (A is twice as old as B) \n" ); document.write( "C = B-5 (C is 5 years younger than B) \n" ); document.write( "A+3 = 3(C+3) (3 years from now, A will be three times as old as C) \n" ); document.write( "Let's put it all together now: \n" ); document.write( "A+3 = 3(C+3) Simplify. \n" ); document.write( "A+3 = 3C+9 Subtract 3 from both sides. \n" ); document.write( "A = 3C+6 Now substitute A = 2B and C = B-5. \n" ); document.write( "2B = 3(B-5)+6 Simplify. \n" ); document.write( "2B = 3B-15+6 \n" ); document.write( "2B = 3B-9 Add 9 to both sides. \n" ); document.write( "2B+9 = 3B Subtract 2B from both sides. \n" ); document.write( "9 = B or B = 9 \n" ); document.write( "A = 2B Substitute B = 9. \n" ); document.write( "A = 2(9) \n" ); document.write( "A = 18 \n" ); document.write( "C = B-5 Substitute B = 9. \n" ); document.write( "C = 9-5 \n" ); document.write( "C = 4 \n" ); document.write( "The ages are: \n" ); document.write( "A is 18 years. \n" ); document.write( "B is 9 years. \n" ); document.write( "C is 4 years. \n" ); document.write( " |