document.write( "Question 835040: a man has a daughter and a son. Son is 3 years older than the daughter. In 1 years the father will be 6 times as old as daughter now and in 10 years he will be 14 years older than combined ages of kids what is the mans age
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Algebra.Com's Answer #503314 by josmiceli(19441)\"\" \"About 
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Let \"+f+\" = father's's age now
\n" ); document.write( "Let \"+s+\" = son's age now
\n" ); document.write( "Let \"+d+\" = daughter's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+s+=+d+%2B+3+\"
\n" ); document.write( "(2) \"+f+%2B+1+=+6d+\"
\n" ); document.write( "(3) \"+f+%2B+10+=+%28+s%2B10+%29+%2B+%28+d%2B10+%29+%2B+14+\"
\n" ); document.write( "--------------------------------------
\n" ); document.write( "(2) \"+f+=+6d+-+1+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+f+%2B+10+=++s%2B10+%2B++d%2B10+%2B+14+\"
\n" ); document.write( "(3) \"+f+%2B+10+=+s+%2B+d+%2B+34+\"
\n" ); document.write( "(3) \"+f+=+s+%2B+d+%2B+24+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) \"+6d+-+1+=+d+%2B+3+%2B+d+%2B+24+\"
\n" ); document.write( "(3) \"+6d+-+1+=+2d+%2B+27+\"
\n" ); document.write( "(3) \"+4d+=+28+\"
\n" ); document.write( "(3) \"+d+=+7+\"
\n" ); document.write( "----------------
\n" ); document.write( "(2) \"+f+=+6d+-+1+\"
\n" ); document.write( "(2) \"+f+=+6%2A7+-+1+\"
\n" ); document.write( "(2) \"+f+=+41+\"
\n" ); document.write( "--------------
\n" ); document.write( "(1) \"+s+=+d+%2B+3+\"
\n" ); document.write( "(1) \"+s+=+7+%2B+3+\"
\n" ); document.write( "(1) \"+s+=+10+\"
\n" ); document.write( "---------------
\n" ); document.write( "The father's age is 41
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+f+%2B+10+=+%28+s%2B10+%29+%2B+%28+d%2B10+%29+%2B+14+\"
\n" ); document.write( "(3) \"+41+%2B+10+=+%28+10%2B10+%29+%2B+%28+7%2B10+%29+%2B+14+\"
\n" ); document.write( "(3) \"+51+=+20+%2B+17+%2B+14+\"
\n" ); document.write( "(3) \"+51+-+51+\"
\n" ); document.write( "OK
\n" ); document.write( "---------
\n" ); document.write( "(2) \"+f+%2B+1+=+6d+\"
\n" ); document.write( "(2) \"+41+%2B+1+=+6%2A7+\"
\n" ); document.write( "(2) \"+42+=+42+\"
\n" ); document.write( "OK
\n" ); document.write( "--------
\n" ); document.write( "(1) \"+s+=+d+%2B+3+\"
\n" ); document.write( "(1) \"+10+=+7+%2B+3+\"
\n" ); document.write( "(1) \"+10+=+10+\"
\n" ); document.write( "OK
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