document.write( "Question 519498: \"you were a quarter of my age when I was twice your present age\" said A to B. In five years from now, our ages will add upto 45. how old was I when you were born? {A is asking B} \n" ); document.write( "
Algebra.Com's Answer #345663 by josmiceli(19441)\"\" \"About 
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Let \"a\" = A's age now
\n" ); document.write( "Let \"b\" = B's age now
\n" ); document.write( "given:
\n" ); document.write( "\"+a+%2B+5+%2B+b+%2B+5+=+45+\"
\n" ); document.write( "\"+a+%2B+b+=+35+\"
\n" ); document.write( "The difference in their ages is
\n" ); document.write( "always \"+a-b+\" (assuming a is older)
\n" ); document.write( "When \"a+=++2b+\", then B
\n" ); document.write( "must have been \"+2b+-+%28a-b%29+=+3b+-+a+\"
\n" ); document.write( "\"+3b+-+a+=+%281%2F4%29%2A2b+\"
\n" ); document.write( "\"+3b+-+a+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "\"+6b+-+2a+=+b+\"
\n" ); document.write( "\"+5b+=+2a+\"
\n" ); document.write( "\"+b+=+%282%2F5%29%2Aa+\"
\n" ); document.write( "and
\n" ); document.write( "\"+a+%2B+b+=+35+\"
\n" ); document.write( "\"+a+%2B+%282%2F5%29%2Aa+=+35+\"
\n" ); document.write( "\"+5a+%2B+2a+=+175+\"
\n" ); document.write( "\"+7a+=+175+\"
\n" ); document.write( "\"+a+=+25+\"
\n" ); document.write( "and, since
\n" ); document.write( "\"+a+%2B+b+=+35+\"
\n" ); document.write( "\"+b+=+10+\"
\n" ); document.write( "When B was born ( age = 0 )
\n" ); document.write( "The difference in their ages was \"+15+\"
\n" ); document.write( "so A was \"+15+\" answer
\n" ); document.write( "-----------------
\n" ); document.write( "check answer:
\n" ); document.write( "In 5 years, their ages will add up to \"+45+\"
\n" ); document.write( "\"+10+%2B+5+%2B++25+%2B+5+=+45+\"
\n" ); document.write( "\"+45+=+45+\"
\n" ); document.write( "OK
\n" ); document.write( "When A was \"+2b+=+20+\",
\n" ); document.write( "B was \"+20+-+15+=+5+\"
\n" ); document.write( "\"+5+\" is 1/4 of \"+20+\"
\n" ); document.write( "OK \n" ); document.write( "
\n" );