The sum of the digits of a two digit number is 5. When the digits are reversed, the number decreases by 90%. Find the changed Numb

1 thought on “The sum of the digits of a two digit number is 5. When the digits are reversed, the number decreases by 90%. Find the changed Numb”

1. Answer:

   let xy be the number

   x+y = 5

   x*10+y+9 = 10*y + x

   that is 9x – 9y = -9

   or x – y = -1

   x + y = 5

   adding above two equations

   2x = 4 ie x = 2

   and y = 5 -x = 5 -2 = 3

   therefore number is 23

   adding 9 to 23 gives 32.

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