document.write( "Question 703833: john is twice as old as peter. peter is 5 years older than alice. in 5 years john will be 3 times as old as alice. how old is peter
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #433854 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"john is twice as old as peter.\"
\n" ); document.write( "j = 2p
\n" ); document.write( ":
\n" ); document.write( "\" peter is 5 years older than alice.\"
\n" ); document.write( "p = a + 5
\n" ); document.write( "or
\n" ); document.write( "a = p - 5
\n" ); document.write( ":
\n" ); document.write( "\" in 5 years john will be 3 times as old as alice.\"
\n" ); document.write( "j + 5 = 3(a+5)
\n" ); document.write( "j + 5 = 3a + 15
\n" ); document.write( "j = 3a + 15 - 5
\n" ); document.write( "j = 3a + 10
\n" ); document.write( "replace j with 2p
\n" ); document.write( "2p = 3a + 10
\n" ); document.write( "replace a with (p-5)
\n" ); document.write( "2p = 3(p-5) + 10
\n" ); document.write( "2p = 3p - 15 + 10
\n" ); document.write( "2p - 3p = -5
\n" ); document.write( "-p = -5
\n" ); document.write( "p = 5 yrs is Peter's age
\n" ); document.write( "One problem with this solution however, Alice would be 0 yrs, John is 10\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );