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The sum of three consecutive numbers is 33 more than the smallest number. Find the numbers.

Solution

The sum of three consecutive numbers is 33 more than the smallest number. Find the numbers.

Solution

The numbers : 15, 16, 17

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + x + 1 + x + 2 = 33 + x

Solve

x + x + 1 + x + 2 = 33 + x : x = 15

x + 1 = 15 + 1 = 16

x + 2 = 15 + 2 = 17

The numbers : 15, 16, 17

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