# The sum of three consecutive numbers is 54.

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The sum of three consecutive numbers is 54. Taking the middle number as x, find:
(i) expression for the smallest number and the largest number.
(ii) the three numbers.

answered Jul 12 by (-3,354 points)

Sum of three consecutive numbers = 54
Middle number = x
(i) The first number = x – 1
and third number = x + 1
(ii) ∴ x + x -1 + x + 1 = 54
⇒ 3x = 54
⇒ x= $\frac { 54 }{ 3 }$ = 18
∴ First number = 18 - 1 = 17
and third number = 18 + 1 = 19
∴ Three required numbers are 17, 18,19