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Popular Word Problems >

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

Solution

T h e s u m o f t h ree co n sec u t i v e in t e g ers i s 19 m ore t han t h e l a r g es t n u mb er . Wha t i s t h e v a l u e o f t h e l a r g es t n u mb er

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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