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Popular Word Problems >

Find three consecutive integers such that the sum of the first and the third is 120.

Solution

F in d t h ree co n sec u t i v e in t e g ers s u c h t ha t t h e s u m o f t h e f i rs t an d t h e t hi r d i s 120.

Solution

The numbers : 59, 60, 61

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 + 2 = 120

Solve

x + x + 2 = 120 : x = 59

x + 1 = 59 + 1 = 60

x + 2 = 59 + 2 = 61

The numbers : 59, 60, 61

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