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Popular Word Problems >

There are 3 consecutive integers with a sum of 123. What is the value of the greatest integer?

Solution

T h ere a re 3 co n sec u t i v e in t e g ers w i t h a s u m o f 123. Wha t i s t h e v a l u e o f t h e g re a t es t in t e g er ?

Solution

The largest number : 42

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 = 123

Solve

x + x + 1 + x + 2 = 123 : x = 40

x + 1 = 40 + 1 = 41

x + 2 = 40 + 2 = 42

Select the largest solution:

42

The largest number : 42

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