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Four consecutive odd integers have a sum of 280. What are the integers?

Solution

Four consecutive odd integers have a sum of 280. What are the integers?

Solution

The numbers : 67, 69, 71, 73

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

A.T.Q.:

x + x + 2 + x + 4 + x + 6 = 280

Solve

x + x + 2 + x + 4 + x + 6 = 280 : x = 67

x + 2 = 67 + 2 = 69

x + 4 = 67 + 4 = 71

x + 6 = 67 + 6 = 73

The numbers : 67, 69, 71, 73

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