document.write( "Question 878561: Brittany is 5 times older than her brother, Ricky. If in 6 years time, Ricky's age will be three sevenths of Brittany's age, how old will Ricky be when Brittany is 60? \n" ); document.write( "
Algebra.Com's Answer #530054 by josgarithmetic(39617)\"\" \"About 
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Present: \"b=5r\"\r
\n" ); document.write( "\n" ); document.write( "Six Years Future: \"r%2B6=%283%2F7%29%28b%2B6%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve: \"7%28r%2B6%29=3%28b%2B6%29\"
\n" ); document.write( "\"7r%2B42=3b%2B18\"
\n" ); document.write( "\"7r-3b=18-42\"
\n" ); document.write( "\"7r-3b=-14\"
\n" ); document.write( "\"3b-7r=14\"
\n" ); document.write( "Substitute.
\n" ); document.write( "\"3%2A5r-7r=14\"
\n" ); document.write( "\"8r=14\"
\n" ); document.write( "\"r=14%2F8\", not a whole number for Ricky.
\n" ); document.write( "\"r=7%2F4\".
\n" ); document.write( "-
\n" ); document.write( "\"b=5%287%2F4%29\"
\n" ); document.write( "\"b=35%2F4\", also not a whole number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Brittany's age present plus y years, will be 60 years.
\n" ); document.write( "What is y?
\n" ); document.write( "\"35%2F4%2By=60\"
\n" ); document.write( "\"y=60-35%2F4\"
\n" ); document.write( "\"y=240%2F4-35%2F4\"
\n" ); document.write( "\"y=205%2F4\"
\n" ); document.write( "-
\n" ); document.write( "What will be Ricky's age at that time?
\n" ); document.write( "\"r%2B205%2F4=7%2F4%2B205%2F4\"
\n" ); document.write( "\"212%2F4=53\"
\n" ); document.write( "Ricky to be 53 years old when Brittany is 60 years old.
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