document.write( "Question 941907: Marion is 5 years younger than Susan. In 10 years Susan will be 3 times as old as Marion was 3 years ago. Find their present ages. The answer is Susan is 17 and Marion is 12. I just need the solution to this. \n" ); document.write( "
Algebra.Com's Answer #574177 by macston(5194)![]() ![]() You can put this solution on YOUR website! Susan's age = S Marion's age=M=S-5 \n" ); document.write( "S+10=3(M-3) Substitute above equation for M \n" ); document.write( "S+10=3((S-5)-3) \n" ); document.write( "S+10=3(S-8) \n" ); document.write( "S+10=3S-24 Subtract S from each side \n" ); document.write( "S+10-S=3S-24-S \n" ); document.write( "10=2S-24 Add 24 to each side \n" ); document.write( "10+24=2S-24+24 \n" ); document.write( "34=2S divide each side by 2 \n" ); document.write( "17=S ANSWER 1 Susan is 17 years \n" ); document.write( "M=S-5=17-5=12 years ANSWER 2 Marion is 12 years \n" ); document.write( "CHECK \n" ); document.write( "In 10 years, Susan will be 3 times as old as Marion was 3 years ago \n" ); document.write( "In 10 years, Susan will be 27. 3Years ago Marion was 9 \n" ); document.write( "3*9=27 \n" ); document.write( "27=27 \n" ); document.write( " \n" ); document.write( " |