document.write( "Question 438274: If the digits of Fathers present age are reversed then get the age of his son.If 1 year ago his
\n" ); document.write( "age was twice as that of his son.Find his present age
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Algebra.Com's Answer #303155 by josmiceli(19441)\"\" \"About 
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Let the 10s digit of Father's age = \"a\"
\n" ); document.write( "Let the units digit of Father's age = \"b\"
\n" ); document.write( "given:
\n" ); document.write( "Father's age = \"10a+%2B+b+\"
\n" ); document.write( "Age of Son = \"+10b+%2B+a+\"
\n" ); document.write( "\"+10a+%2B+b+-+1+=+2%2A%28+10b+%2B+a+-+1%29+\"
\n" ); document.write( "\"+10a+%2B+b+-+1+=+20b+%2B+2a+-+2+\"
\n" ); document.write( "\"+8a+=+19b+-+1+\"
\n" ); document.write( "This is 1 equation and 2 unknowns, so it's
\n" ); document.write( "not solvable directly.
\n" ); document.write( "I see that \"+a+%3E+b+\". I also see that the left
\n" ); document.write( "side will always be even, so \"b\" must be
\n" ); document.write( "odd for that to be.
\n" ); document.write( "So, \"b\" can be 3,5,7
\n" ); document.write( " (\"b\" can't be \"9\", since \"+a%3Eb+\"
\n" ); document.write( "\"a\" can be even or odd
\n" ); document.write( "---------------------
\n" ); document.write( "\"+b+=+7+\"
\n" ); document.write( "\"+19b+-+1+=+132+\"
\n" ); document.write( "\"8a\" does not divide \"132\" for any \"a\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+b+=+5\"
\n" ); document.write( "\"+19b+-+1+=+94+\"
\n" ); document.write( "\"8a\" does not divide \"94\" for any \"a\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+b+=+3+\"
\n" ); document.write( "\"+19b+-+1+=+56+\"
\n" ); document.write( "\"+8a+=+56+\"
\n" ); document.write( "\"+a+=+7\"
\n" ); document.write( "---------
\n" ); document.write( "The father is 73 and the son is 37
\n" ); document.write( "check:
\n" ); document.write( "\"+10a+%2B+b+-+1+=+2%2A%28+10b+%2B+a+-+1%29+\"
\n" ); document.write( "\"+10%2A7+%2B+3+-+1+=+2%2A%28+10%2A3+%2B+7+-+1%29+\"
\n" ); document.write( "\"+70+%2B+2+=+2%2A%28+30+%2B+6+%29+\"
\n" ); document.write( "\"+72+=+72+\"
\n" ); document.write( "OK
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