document.write( "Question 1031190: Two years ago Philip was three times as old as his son.
\n" ); document.write( "Two years hence, twice his age will be equal to five times
\n" ); document.write( "that of his son. Find their present ages.
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Algebra.Com's Answer #645929 by josmiceli(19441)\"\" \"About 
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Let \"+f+\" = father's age now
\n" ); document.write( "Let \"+s+\" = his son's age now
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+f+-+2+=+3%2A%28+s+-+2+%29+\"
\n" ); document.write( "(2) \"+2%2A%28+f+%2B+2+%29+=+5%2A%28+s+%2B+2+%29+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(1) \"+f+-+2+=+3s+-+6+\"
\n" ); document.write( "(1) \"+3s+-+f+=+4+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2f+%2B+4+=+5s+%2B+10+\"
\n" ); document.write( "(2) \"+-5s+%2B+2f+=+6+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and add the equations
\n" ); document.write( "(1) \"+6s+-+2f+=+8+\"
\n" ); document.write( "(2) \"+-5s+%2B+2f+=+6+\"
\n" ); document.write( "--------------------
\n" ); document.write( "\"+s+=+14+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+3s+-+f+=+4+\"
\n" ); document.write( "(1) \"+f+=+3s+-+4+\"
\n" ); document.write( "(1) \"+f+=+3%2A14+-+4+\"
\n" ); document.write( "(1) \"+f+=+38+\"
\n" ); document.write( "--------------------
\n" ); document.write( "The son is 14 and the father is 38
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+f+-+2+=+3%2A%28+s+-+2+%29+\"
\n" ); document.write( "(1) \"+38+-+2+=+3%2A%28+14+-+2+%29+\"
\n" ); document.write( "(1) \"+36+=+3%2A12+\"
\n" ); document.write( "(1) \"+36+=+36+\"
\n" ); document.write( "OK
\n" ); document.write( "(2) \"+2%2A%28+f+%2B+2+%29+=+5%2A%28+s+%2B+2+%29+\"
\n" ); document.write( "(2) \"+2%2A%28+38+%2B+2+%29+=+5%2A%28+14+%2B+2+%29+\"
\n" ); document.write( "(2) \"+80+=+5%2A16+\"
\n" ); document.write( "(2) \"+80+=+80+\"
\n" ); document.write( "OK
\n" ); document.write( "
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