Question 25688
Let the youngest be "x"
2nd youngest is "x+3"
2nd oldest is "x+14"
oldest is [x+(x+14)]/2 + 20 =x+27
EQUATION:
x + x+3 + x+14 + x+27 = 384
         4x + 44 = 384
         4x = 340
          x = 85 (youngest)
       x+3 = 88 next youngest
       x+14=99  (2nd oldest)
      x+27= 112 (oldest)

Cheers,
Stan H.