SOLUTION: A three-digit number between 300 and 400 is 40 times the sum of its digits. The tens digit is six more than the units digit. find the number

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Question 393655: A three-digit number between 300 and 400 is 40 times the sum of its digits. The tens digit is six more than the units digit. find the number
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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