document.write( "Question 1111128: The ratio of the age of a father and his son two years ago was 10:1. Four years hence the age of the father will be 4 times the age of his son. what is the difference in the age of the father and son? \n" ); document.write( "
Algebra.Com's Answer #726138 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = father's age now
\n" ); document.write( "Let \"+b+\" = son's age now
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+%28+a+-+2+%29+%2F+%28+b+-+2+%29+=+10%2F1+\"
\n" ); document.write( "(2) \"+a+%2B+4+=+4%2A%28+b+%2B+4+%29+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+a+-+2+=+10%2A%28+b+-+2+%29+\"
\n" ); document.write( "(1) \"+a+-+2+=+10b+-+20+\"
\n" ); document.write( "(1) \"+-a+%2B+10b+=+18+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+%2B+4+=+4b+%2B+16+\"
\n" ); document.write( "(2) \"+a+-+4b+=+12+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) \"+-a+%2B+10b+=+18+\"
\n" ); document.write( "(2) \"+a+-+4b+=+12+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+6b+=+30+\"
\n" ); document.write( "\"+b+=+5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+-+4b+=+12+\"
\n" ); document.write( "(2) \"+a+-+4%2A5+=+12+\"
\n" ); document.write( "(2) \"+a+=+12+%2B+20+\"
\n" ); document.write( "(2) \"+a+=+32+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+a+-+b+=+32+-+5+\"
\n" ); document.write( "\"+a+-+b+=+27+\"
\n" ); document.write( "The difference in their ages is 27
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+%28+a+-+2+%29+%2F+%28+b+-+2+%29+=+10+\"
\n" ); document.write( "(1) \"+%28+32+-+2+%29+%2F+%28+5+-+2+%29+=+10+\"
\n" ); document.write( "(1) \"+30+%2F+3+=+10+\"
\n" ); document.write( "(1) \"+10+=+10+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+%2B+4+=+4%2A%28+b+%2B+4+%29+\"
\n" ); document.write( "(2) \"+32+%2B+4+=+4%2A%28+5+%2B+4+%29+\"
\n" ); document.write( "(2) \"+36+=+4%2A9+\"
\n" ); document.write( "(2) \"+36+=+36+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );