document.write( "Question 830756: A wife says if i reverse the digits of my age i will find the age of my husband . He is senior to me and the difference of our ages is equal to the 1/11 of the sum of our age. Find the age of wife ? \n" ); document.write( "
Algebra.Com's Answer #501001 by ankor@dixie-net.com(22740)\"\" \"About 
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let a = the 10's digit of the wife's age
\n" ); document.write( "let b = the units
\n" ); document.write( ":
\n" ); document.write( "A wife says if i reverse the digits of my age i will find the age of my husband .
\n" ); document.write( "10a+b = the wife's age
\n" ); document.write( "10b+a = husband's age
\n" ); document.write( ":
\n" ); document.write( " He is senior to me and the difference of our ages is equal to the 1/11 of the sum of our age.
\n" ); document.write( "(10a+b) + (10b+a) = 11((10b+a)-(10a+b))
\n" ); document.write( "11a + 11b = 11((10b+a)-(10a+b))
\n" ); document.write( "divide both sides by 11
\n" ); document.write( "a + b = (10b+a)-10a+b)
\n" ); document.write( "a + b = 10b - b + a - 10a
\n" ); document.write( "a + b = 9b - 9a
\n" ); document.write( "a + 9a = 9b - b
\n" ); document.write( "10a = 8b
\n" ); document.write( "a = \"%288b%29%2F10\"
\n" ); document.write( "a = .8b
\n" ); document.write( "Only one single digit solution possible
\n" ); document.write( "b=5, a=4
\n" ); document.write( " Find the age of wife ? 45 yrs old \n" ); document.write( "
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