Question 384764
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Hi,         
Let x, (3x+1), the second, and (16-x), the third, represent the numbers.
Question states thier sum is 23***
  x + (3x+1) + (16 -x) = 23
solving for x
  3x + 17 = 23
     3x = 6
      x = 2
 the numbers are 2, 7 (3*2+1)  and  14 (16-2)

CHECKING our Anwser***
  2 + 7 + 14 = 23