document.write( "Question 690185: Maria is now 3 years younger than her sister, Ann. Four years ago, Maria's age was one-half Ann's age. How old s each girl now? \n" ); document.write( "
Algebra.Com's Answer #426207 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! ALWAYS define variables to represent the unknowns. \n" ); document.write( "THEN write equation(s) relating the variables to the problem statements. \n" ); document.write( "THEN solve and check your answer. \n" ); document.write( "Plesae do these steps to LEARN how to solve problems using ALGEBRA. \n" ); document.write( "Ley A = Ann's present age \n" ); document.write( "Let M = Maria's present age \n" ); document.write( "The first sentence says \n" ); document.write( "(1) M = A - 3 \n" ); document.write( "The second statemnt says \n" ); document.write( "(2) M - 4 = (A - 4)/2 \n" ); document.write( "Do you agree? \n" ); document.write( "Now solve (1) and (2) using substitution. Place (1) into (2) to get \n" ); document.write( "(3) (A - 3) - 4 = (A - 4)/2 or \n" ); document.write( "(4) A - 7 = (A - 4)/2 \n" ); document.write( "Now multiply both sides by 2 to get \n" ); document.write( "(5) 2A - 14 = A - 4 or \n" ); document.write( "(6) A = 14 - 4 or \n" ); document.write( "(7) A = 10 \n" ); document.write( "Using (1) we get \n" ); document.write( "(8) M = 10 - 3 or \n" ); document.write( "(9) M = 7 \n" ); document.write( "Check the answers using (2). \n" ); document.write( "Is (7 - 4 = (10 - 4)/2)? \n" ); document.write( "Is (3 = 6/2)? \n" ); document.write( "Is (3 = 3)? Yes \n" ); document.write( "Answer: At the present time Ann is 10 years old and Maria is 7 years old. \n" ); document.write( " |