document.write( "Question 954238: a woman's age is three times more than twice her sons age, the sum of their ages is 84. how old is the son? \n" ); document.write( "
Algebra.Com's Answer #582790 by macston(5194)![]() ![]() You can put this solution on YOUR website! Situation 1: Woman's age is three times more than twice son's age: \n" ); document.write( "W=woman's age; S=son's age \n" ); document.write( "W=6S \n" ); document.write( "W+S=84 Substitute for W \n" ); document.write( "6S+S=84 \n" ); document.write( "7S=84 Divide each side by 7 \n" ); document.write( "S=12 ANSWER 1: The son's age is 12. \n" ); document.write( "W=6S=6(12)=72 ANSWER 2: The woman is 72. \n" ); document.write( "' \n" ); document.write( "Situation 2: Woman's age is three more than twice son's age: \n" ); document.write( "W=2S+3 \n" ); document.write( "W+S=84 Substitute for W \n" ); document.write( "2S+3+S=84 Subtract 3 from each side. \n" ); document.write( "3S=81 Divide each side by 3 \n" ); document.write( "S=37 ANSWER 1: The son's age is 37. \n" ); document.write( "W=2S+3=2(27)+3=54+3=57 ANSWER 2: The woman's age is 57. \n" ); document.write( "The wording \"Three times more than twice her son's age\" seems odd for this type of question, so I worked out a more common way, too. (See Situation 2) \n" ); document.write( " |