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The sum of three consecutive integers is 19 more than the largest number. What is the value of the largest number

Solution

The sum of three consecutive integers is 19 more than the largest number. What is the value of the largest number

Solution

The number : 11

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 = 19 + x + 2

Solve

x + x + 1 + x + 2 = 19 + x + 2 : x = 9

x + 1 = 9 + 1 = 10

x + 2 = 9 + 2 = 11

The number : 11

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