document.write( "Question 1134290: A father's age is formed by reversing the two digits of son's age.
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document.write( "If the father is 27 years older than his son and sum of the digits used is 7,
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document.write( "Find their age.
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Algebra.Com's Answer #751641 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! A father's age is formed by reversing the two digits of son's age. \r\n" ); document.write( "t = tens digit of Son's age\r\n" ); document.write( "u = ones digit of Son's age\r\n" ); document.write( "Son's age = 10t+u\r\n" ); document.write( "Father's age = 10u+tIf the father is 27 years older than his son \r\n" ); document.write( "(Father's age) = (Son's age) + 27\r\n" ); document.write( " 10u+t = 10t+u + 27\r\n" ); document.write( " 10u+t = 10t+u + 27\r\n" ); document.write( " 9u-9t = 27\r\n" ); document.write( " u-t = 3and sum of the digits used is 7 \r\n" ); document.write( "u+t = 7\r\n" ); document.write( "\r\n" ); document.write( "Add the two equations:\r\n" ); document.write( "\r\n" ); document.write( " u-t = 3\r\n" ); document.write( " u+t = 7 \r\n" ); document.write( "---------\r\n" ); document.write( "2u = 10\r\n" ); document.write( " u = 5\r\n" ); document.write( "\r\n" ); document.write( "u+t = 7\r\n" ); document.write( "5+t = 7\r\n" ); document.write( " t = 2\r\n" ); document.write( "\r\n" ); document.write( "Son's age = 10t+u = 10(2)+5 = 20+5 = 25\r\n" ); document.write( "Father's age = 10u+t = 10(5)+2 = 50+2 = 52.\r\n" ); document.write( "\r\n" ); document.write( "Or you could just write down the digits t and u:\r\n" ); document.write( "\r\n" ); document.write( "Son's age = \"t and then u\" = 25\r\n" ); document.write( "Father's age \"u and then t\" = 52\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |