SOLUTION: Can any one solve this? One day i met disha...I asked her age...she always gives answers indirectlyshe said..''if you reverse my age it's my husband's age...He is older than me...

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Can any one solve this? One day i met disha...I asked her age...she always gives answers indirectlyshe said..''if you reverse my age it's my husband's age...He is older than me...      Log On

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Question 974669: Can any one solve this?
One day i met disha...I asked her age...she always gives answers indirectlyshe said..''if you reverse my age it's my husband's age...He is older than me...The difference between our ages is one eleventh of the sum of our ages...'' What is disha's age??

Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
let her age be xy (x and y are digits of age.)
her husband's age is yx
as per ques,
%2810y%2Bx%29+-+%2810x%2By%29+=+%281%2F11%29%2A%28%2810y%2Bx%29%2B%2810x%2By%29%29
=> 11%2A%289y+-+9x%29+=+11%2A%28y%2Bx%29
=> 5x+=+4y
Since x and y are digits , so above equation has only one solution
i.e y=5 and x=4
So disha's age is 45 years and her husband's age is 54.
CHECK:
54-45 = 9
Also (1/11)*(54+45) = 9