document.write( "Question 694902: Please help me solve word problem: \r
\n" ); document.write( "\n" ); document.write( "Given that a father's age is 1 less than twice that of his son, and that the digits AB making up the father's age are reversed in the son's age (i.e. BA).
\n" ); document.write( "How old are the father and son?
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Algebra.Com's Answer #428278 by ankor@dixie-net.com(22740)\"\" \"About 
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Given that a father's age is 1 less than twice that of his son,
\n" ); document.write( " and that the digits AB making up the father's age are reversed in the son's age
\n" ); document.write( "(i.e. BA).
\n" ); document.write( "How old are the father and son?
\n" ); document.write( ":
\n" ); document.write( "Let a = the 10's digit of father's age
\n" ); document.write( "Let b = the ones
\n" ); document.write( "then
\n" ); document.write( "(10a+b) = his age
\n" ); document.write( "and
\n" ); document.write( "(10b+a) = son's age (digits reversed
\n" ); document.write( ":
\n" ); document.write( "\"Given that a father's age is 1 less than twice that of his son,\"
\n" ); document.write( "10a + b = 2(10b+a) - 1
\n" ); document.write( "10a + b = 20b + 2a - 1
\n" ); document.write( "combine like terms
\n" ); document.write( "10a - 2a = 20b - b - 1
\n" ); document.write( "8a = 19b - 1
\n" ); document.write( "divide by 8
\n" ); document.write( "a = \"19%2F8\"b - \"1%2F8\"
\n" ); document.write( "Find a single digit value for b that will give an integer value for a
\n" ); document.write( "After a couple of attempts came up with:
\n" ); document.write( "b = 3
\n" ); document.write( "a = \"19%2F8\"(3) - \"1%2F8\"
\n" ); document.write( "a = \"57%2F8\" - \"1%2F8\"
\n" ); document.write( "a = \"56%2F8\"
\n" ); document.write( "a = 7
\n" ); document.write( "then
\n" ); document.write( "Dad's age = 73
\n" ); document.write( "Son's age = 37
\n" ); document.write( ":
\n" ); document.write( "Check that: 2(37) - 1 = 73
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