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Popular >

The sum of three consecutive odd integers is 7575. Find the value of the middle of the three.

Solution

The sum of three consecutive odd integers is 7575. Find the value of the middle of the three.

Solution

The number : 2525

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 7575

Solve

x + x + 2 + x + 4 = 7575 : x = 2523

x + 2 = 2523 + 2 = 2525

x + 4 = 2523 + 4 = 2527

The number : 2525

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