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Popular Word Problems >

Find three consecutive integers such that the sum of the first and half the third is 22 more than the second.

Solution

solve for

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 ha l f t h e t hi r d i s 22 m ore t han t h e seco n d .

Solution

The numbers : 44, 45, 46

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + \frac{1}{2} (x + 2) = 22 + x + 1

Solve

x + \frac{1}{2} (x + 2) = 22 + x + 1 : x = 44

x + 1 = 44 + 1 = 45

x + 2 = 44 + 2 = 46

The numbers : 44, 45, 46

Popular Examples

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