document.write( "Question 502346: jeremy is 5 years younger than his older sister, his older sister is 9 years older then her younger sister each of their ages equals 49 how old are they? \n" ); document.write( "
Algebra.Com's Answer #338817 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Jeremy = j \n" ); document.write( "Present age of older sister = s \n" ); document.write( "Present age of younger sister = y\r \n" ); document.write( "\n" ); document.write( "Given \n" ); document.write( "Jeremy is 5 years younger means if we subtract 5 from his older sister's present age both Jeremy and his older sister will be of equal age \n" ); document.write( "j=s-5.........(1) \n" ); document.write( "His older sister is 9 years older than her younger sister means if we subtract 9 from the older sister's present age both younger and older sisters will be of same age \n" ); document.write( "y=s-9............(2) \n" ); document.write( "Each of their ages equals 49 \n" ); document.write( "j+y+s=49.............(3) \n" ); document.write( "Put the value of j from (1) and value of y from (2) to (3), we have \n" ); document.write( "(s-5)+(s-9)+s=49 \n" ); document.write( "s-5+s-9+s=49 \n" ); document.write( "3s-14=49 \n" ); document.write( "3s=49+14 \n" ); document.write( "3s=63 \n" ); document.write( "Divide by 3 both sides of above equation \n" ); document.write( "3s/3=63/3 \n" ); document.write( "s=21 \n" ); document.write( "Put the value of s in (1) \n" ); document.write( "j=s-5.........(1) \n" ); document.write( "j=21-5 \n" ); document.write( "j=16 \n" ); document.write( "Put the value of s in (2) \n" ); document.write( "y=s-9............(2) \n" ); document.write( "y=21-9 \n" ); document.write( "y=12 \n" ); document.write( "Present age of Jeremy = j = 16 years \n" ); document.write( "Present age of older sister = s = 21 years \n" ); document.write( "Present age of younger sister = y = 12 years\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |