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)\"\" \"About 
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( "
\n" );