document.write( "Question 1022174: John is twice as old as his friend peter.peter is 5 years older than Alice.in 5 years John will be three times as old as Alice .how old is peter now? \n" ); document.write( "
Algebra.Com's Answer #637919 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = Alice's age now
\n" ); document.write( "Let \"+p+\" = Peter's age now
\n" ); document.write( "Let \"+j+\" = John's age now
\n" ); document.write( "------------------------
\n" ); document.write( "(1) \"+j+=+2p+\"
\n" ); document.write( "(2) \"+p+=+a+%2B+5+\"
\n" ); document.write( "(3) \"+j+%2B+5+=+3%2A%28+a+%2B+5+%29+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+j+=+2%2A%28+a+%2B+5+%29+\"
\n" ); document.write( "Substitute this result into (3)
\n" ); document.write( "(3) \"+2%2A%28+a+%2B+5+%29+%2B+5+=+3%2A%28+a+%2B+5+%29+\"
\n" ); document.write( "(3) \"+2a+%2B+10+%2B+5+=+3a+%2B+15+\"
\n" ); document.write( "(3) \"+a+=+0+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+p+=+0+%2B+5+\"
\n" ); document.write( "(2) \"+p+=+5+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+j+%2B+5+=+3%2A%28+a+%2B+5+%29+\"
\n" ); document.write( "(3) \"+j+%2B+5+=+3%2A%28+0+%2B+5+%29+\"
\n" ); document.write( "(3) \"+j+%2B+5+=+15+\"
\n" ); document.write( "(3) \"+j+=+10+\"
\n" ); document.write( "----------------
\n" ); document.write( "Peter is 5
\n" ); document.write( "John is 10
\n" ); document.write( "Alice has just been born
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "1) \"+j+=+2p+\"
\n" ); document.write( "1) \"10+=+2%2A5+\"
\n" ); document.write( "(1) \"+10+=+10+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+p+=+a+%2B+5+\"
\n" ); document.write( "(2) \"+5+=+0+%2B+5+\"
\n" ); document.write( "(2) \"+5+=+5+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+j+%2B+5+=+3%2A%28+a+%2B+5+%29+\"
\n" ); document.write( "(3) \"10+%2B+5+=+3%2A%28+0+%2B+5+%29+\"
\n" ); document.write( "(3) \"+15+=+3%2A5+\"
\n" ); document.write( "(3) \"+15+=+15+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );