document.write( "Question 205623: the difference between the ages of two sisters today is 3x. 6 years hence the ratio of their ages will be 7:6. what is the age of each sister today? \n" ); document.write( "
Algebra.Com's Answer #155250 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the difference between the ages of two sisters today is 3x. 6 years hence the ratio of their ages will be 7:6. what is the age of each sister today?
\n" ); document.write( "-----------------------
\n" ); document.write( "Ages NOW:
\n" ); document.write( "a-b = 3x
\n" ); document.write( "---------------
\n" ); document.write( "6yrs hence:
\n" ); document.write( "(a+6)/(b+6) = 7/6
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute a = 3x+b from the 1st equation into the 2nd:
\n" ); document.write( "(3x+b-b)/(b+6) = 7/6
\n" ); document.write( "3x/(b+6) = 7/6
\n" ); document.write( "18x = 7b + 42
\n" ); document.write( "7b = 18x-42
\n" ); document.write( "b = (18x-42)/7 yrs (age of one of the sisters)
\n" ); document.write( "---\r
\n" ); document.write( "\n" ); document.write( "Substitute that back into the 1st equation to solve for \"a\":
\n" ); document.write( "a -[(18x-42)/7] = 3x
\n" ); document.write( "a = 3x + [(18x-42)/7] (age of the other sister)
\n" ); document.write( "======================================================
\n" ); document.write( "Comment: That is a mess. I have my doubts that is what
\n" ); document.write( "you are looking for.
\n" ); document.write( "======================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );