document.write( "Question 476266: 1. If Samantha were three times as old as she was five years ago, she will be sixty less than six times her current age. How old is Samantha?\r
\n" ); document.write( "\n" ); document.write( "2. Ryan was born 6 and one-fourth years after Alexander. The sum of their ages is 66 and eleven-twelfth years. How old is Alexander?\r
\n" ); document.write( "\n" ); document.write( "3. Samantha is 8 and two-third years older than Jason. The sum of their ages is 23 years. How old is Jason?
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Algebra.Com's Answer #326576 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = Sam's current age
\n" ); document.write( "\"++a+-+5+\" = Sam's age 5 years ago
\n" ); document.write( "\"+3%2A%28a+-+5%29+\" = 3 times Sam's age 5 years ago
\n" ); document.write( "\"+6a+-+60+\" = 60 less than 6 times her current age
\n" ); document.write( "-------------
\n" ); document.write( "(1)
\n" ); document.write( "\"+3%2A%28a+-+5%29+=+6a+-+60+\"
\n" ); document.write( "\"+3a+-+15+=+6a+-+60+\"
\n" ); document.write( "\"+3a+=+45+\"
\n" ); document.write( "\"+a+=+15+\"
\n" ); document.write( "Sam is 15
\n" ); document.write( "---------
\n" ); document.write( "(2)
\n" ); document.write( "Let Ryan's age now = \"+r+\"
\n" ); document.write( "Let Alex's age now = \"+a+\"
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+r+=+a+-+6.25+\"
\n" ); document.write( "(2) \"+r+%2B+a+=+66+%2B+11%2F12+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+a+-+6.25+%2B+a+=+66+%2B+11%2F12+\"
\n" ); document.write( "(2) \"+2a+=+66+%2B+6.25+%2B+.91667+\"
\n" ); document.write( "(2) \"+2a+=+73.16667+\"
\n" ); document.write( "(2) \"+a+=+36.583335+\"
\n" ); document.write( "\"+12%2A.583335+=+7+\"
\n" ); document.write( "Alex is 36 and 7 months
\n" ); document.write( "----------------
\n" ); document.write( "\"s\" = Sam's age now
\n" ); document.write( "\"j\" = Jason's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+s+=+j+%2B+8.666+\"
\n" ); document.write( "(2) \"+s+%2B+j+=++23+\"
\n" ); document.write( "--------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+j+%2B+8.666+%2B+j+=+23+\"
\n" ); document.write( "(2) \"+2j+=+23+-+8.666+\"
\n" ); document.write( "(2) \"+2j+=+14.333+\"
\n" ); document.write( "(2) \"+j+=+7.167+\"
\n" ); document.write( "\"+.167%2A12+=+2+\"
\n" ); document.write( "Jason is 7 years and 2 months old
\n" ); document.write( "
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