document.write( "Question 843344: the age of a man is the same as his wife's age with the digits reversed. if the sum of the age is 99 and the man is 9 years older than his wife, how old is he?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #508072 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
the age of a man is the same as his wife's age with the digits reversed.
\n" ); document.write( "Let 10a+b = man's age
\n" ); document.write( "let 10b+a = wife's age
\n" ); document.write( " if the sum of the age is 99
\n" ); document.write( "10a+b + 10b+a = 99
\n" ); document.write( "11a + 11b = 99
\n" ); document.write( "simplify, divide by 11
\n" ); document.write( "a + b = 9
\n" ); document.write( "and the man is 9 years older than his wife,
\n" ); document.write( "10a+b - 10b+a = 9
\n" ); document.write( "9a - 9b = 9
\n" ); document.write( "simplify divide by 9
\n" ); document.write( "a - b = 1
\n" ); document.write( ":
\n" ); document.write( "Add the two equations
\n" ); document.write( "a + b = 9\
\n" ); document.write( "a - b = 1
\n" ); document.write( "----------
\n" ); document.write( "2a = 10
\n" ); document.write( "a = 5 is the man's 1st digit
\n" ); document.write( "then
\n" ); document.write( "b = 4 is his 2nd digit
\n" ); document.write( ":
\n" ); document.write( "He's 54 and wife's 45\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " how old is he?
\n" ); document.write( " \n" ); document.write( "
\n" );