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Popular Word Problems >

Find the smaller of 2 consecutive integers, if the sum of the smaller and 6 times the larger is-29 . Write an equation to determine the consecutive integers. Variable: Equation:

Solution

solve for

t h e s ma ll er o f 2 co n sec u t i v e in t e g ers, i f t h e s u m o f t h e s ma ll er an d 6 t im es t h e l a r g er i s - 29 . W r i t e an e q u a t i o n t o d e t er min e t h e co n sec u t i v e in t e g ers . Va r iab l e : Eq u a t i o n :

Solution

The numbers : - 5, - 4

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x + 6 (x + 1) = - 29

Solve

x + 6 (x + 1) = - 29 : x = - 5

x + 1 = - 5 + 1 = - 4

The numbers : - 5, - 4

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