document.write( "Question 694902: Please help me solve word problem: \r
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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).
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document.write( "How old are the father and son? \n" );
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Algebra.Com's Answer #428278 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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 = \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 = \n" ); document.write( "a = \n" ); document.write( "a = \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 \n" ); document.write( " \n" ); document.write( " |