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The sum of 4 consecutive odd numbers is 56 . Find the greatest of the 4 numbers.

Solution

The sum of 4 consecutive odd numbers is 56 . Find the greatest of the 4 numbers.

Solution

The largest number : 17

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 = 56

Solve

x + x + 2 + x + 4 + x + 6 = 56 : x = 11

x + 2 = 11 + 2 = 13

x + 4 = 11 + 4 = 15

x + 6 = 11 + 6 = 17

Select the largest solution:

17

The largest number : 17

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