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Popular Word Problems >

There are 5 consecutive integers with a sum of-470. What is the value of the least integer?

Solution

T h ere a re 5 co n sec u t i v e in t e g ers w i t h a s u m o f - 470. Wha t i s t h e v a l u e o f t h e l e a s t in t e g er ?

Solution

The smallest number : - 96

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = - 470

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = - 470 : x = - 96

x + 1 = - 96 + 1 = - 95

x + 2 = - 96 + 2 = - 94

x + 3 = - 96 + 3 = - 93

x + 4 = - 96 + 4 = - 92

Select the smallest solution:

- 96

The smallest number : - 96

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