document.write( "Question 885519: a man is twice as old as his sister,and half as old as their uncle.in 50 years,his sister will be half as old as their uncle.
\n" ); document.write( "how old is the man now?\r
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Algebra.Com's Answer #535218 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+m+\" = the man's age now
\n" ); document.write( "Let \"+s+\" = his sister's age now
\n" ); document.write( "Let \"+u+\" = uncles age now
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+m+=+2s+\"
\n" ); document.write( "(2) \"+m+=+%281%2F2%29%2Au+\"
\n" ); document.write( "(3) \"+s+%2B+50+=+%281%2F2%29%2A%28+u+%2B+50+%29+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "This is 3 equations and 3 unknowns
\n" ); document.write( "so it's solvable
\n" ); document.write( "(3) \"+2%2A%28+s+%2B+50+%29+=+u+%2B+50+\"
\n" ); document.write( "(3) \"+2s+%2B+100+=+u+%2B+50+\"
\n" ); document.write( "(3) \"+u+=+2s+%2B+50+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (3) into (2)
\n" ); document.write( "(2) \"+m+=+%281%2F2%29%2A%28+2s+%2B+50+%29+\"
\n" ); document.write( "(2) \"+2m+=+2s+%2B+50+\"
\n" ); document.write( "(2) \"+m+=+s+%2B+25+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+2s+=+s+%2B+25+\"
\n" ); document.write( "(2) \"+s+=+25+\"
\n" ); document.write( "----------------
\n" ); document.write( "(3) \"+u+=+2s+%2B+50+\"
\n" ); document.write( "(3) \"+u+=+2%2A25+%2B+50+\"
\n" ); document.write( "(3) \"+u+=+100+\"
\n" ); document.write( "---------------
\n" ); document.write( "(1) \"+m+=+2s+\"
\n" ); document.write( "(1) \"+m+=+50+\"
\n" ); document.write( "----------------
\n" ); document.write( "The man is 50
\n" ); document.write( "His sister is 25
\n" ); document.write( "Their uncle is 100
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+s+%2B+50+=+%281%2F2%29%2A%28+u+%2B+50+%29+\"
\n" ); document.write( "(3) \"+25+%2B+50+=+%281%2F2%29%2A%28+100+%2B+50+%29+\"
\n" ); document.write( "(3) \"+75+=+%281%2F2%29%2A150+\"
\n" ); document.write( "(3) \"+150+=+150+\"
\n" ); document.write( "OK\r
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