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Let the three numbers be x, y, z. X+y / 2 + z = 177 x + y + 2z = 354 …(1) Y + z / 2 + X = 163 2x + y + z = 326 …(2) x + z / 2 + y = 138 x + 2y + z = 276 …(3) Adding eq(1),(2),(3) and dividing it by 4, we get x + y + z = 239 ,,,(4) sub (1) - (4), z = 115 sub (2) - (4), x = 87 sub (3) - (4), y = 37 The average of largest and smallest = 115+37/2 = 76
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