document.write( "Question 636450: Paul is 11 years younger than Wendy. In 10 years, Wendy will be twice as old as Paul. How old is Paul now? \n" ); document.write( "

Algebra.Com's Answer #401045 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let
\n" ); document.write( "Present age of Paul = p years old
\n" ); document.write( "Present age of Wendy = w years old\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Paul is 11 years younger than Wendy.
\n" ); document.write( "w=p+11............(1)
\n" ); document.write( "In 10 years,
\n" ); document.write( "Paul will be = p+10 years old
\n" ); document.write( "Wendy will be = w+10 years old
\n" ); document.write( "Then
\n" ); document.write( "Wendy will be twice as old as Paul
\n" ); document.write( "w+10=2(p+10)
\n" ); document.write( "w+10=2p+20
\n" ); document.write( "w=2p+20-10
\n" ); document.write( "w=2p+10................(2)
\n" ); document.write( "Put the value of w from (1) to (2)
\n" ); document.write( "p+11=2p+10
\n" ); document.write( "p-2p=10-11
\n" ); document.write( "-p=-1
\n" ); document.write( "p=1
\n" ); document.write( "Put the value of p in (1)
\n" ); document.write( "w=p+11............(1)
\n" ); document.write( "w=1+11
\n" ); document.write( "w=12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Paul = p = 1 year old
\n" ); document.write( "Present age of Wendy = w = 12 years old \n" ); document.write( "

\n" );