Hi

The tens digit is six more than the units digit.

Let x and (x+6) represent the units digit and tens digit respectively

Note: hundreds digit = 3

Question States

 300 + 10(x+6) + x = 40(3 + x+ (x+6)

solving for x

 300 + 10x + 60 + x = 120 + 8x + 240

         11x + 360 = 360 + 8x

                 3x = 0

                  x = 0, the units digit.  the ten digit is 6   ( 0 + 6)

the number is 360



CHECKING our Answer

   360 = 40*9

 

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