document.write( "Question 498115: Janis is 3 years older than her sister. Thirty years from now the sum of their ages will be 111. Find the current ages of the sisters. \n" ); document.write( "
Algebra.Com's Answer #338052 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Janis = j \n" ); document.write( "Present age of sister = s\r \n" ); document.write( "\n" ); document.write( "Janis is 3 years older means if we add 3 to the sister age both girls will be of same age \n" ); document.write( "j=s+3 ............(1) \n" ); document.write( "Thirty years from now means we have to add 30 in their present ages then sum them up \n" ); document.write( "(j+30)+(s+30)=111 \n" ); document.write( "j+30+s+30=111 \n" ); document.write( "j+s+60=111 \n" ); document.write( "j+s=111-60 \n" ); document.write( "j+s=51 ...........(2) \n" ); document.write( "Plug in the value of j from (1) to (2) \n" ); document.write( "(s+3)+s=51 \n" ); document.write( "s+3+s=51 \n" ); document.write( "2s+3=51 \n" ); document.write( "2s=51-3 \n" ); document.write( "2s=48 \n" ); document.write( "Divide by 2 both sides of the equation \n" ); document.write( "2s/2=48/2 \n" ); document.write( "s=24 \n" ); document.write( "Plug in the value of s in (1) \n" ); document.write( "j=s+3 \n" ); document.write( "j=24+3 \n" ); document.write( "j=27 \n" ); document.write( "Present age of Janis = 27 \n" ); document.write( "Present age of sister = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |