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3. The sum of a number of 2 digits and of the number formed by reversing the digits is 110, and the difference of the digits is 6. Find the number.( chapter playing with number )​

Respuesta :

sqdancefan

9514 1404 393

Answer:

  82

Step-by-step explanation:

If the digits are X and Y, with X being the tens digit, we have ...

  (10X +Y) +(10Y +X) = 110

  X -Y = 6

Dividing the first equation by 11 gives

  X +Y = 10

Adding that to the second equation, we have ...

  (X -Y) +(X +Y) = (6) +(10)

  2X = 16

  X = 8

  Y = X -6 = 2

The number is 82.

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