Applications of Linear Equations

label Algebra
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The sum of the smallest of four consecutive odd integers is 30 greater than the largest integer. What is the largest integer?

Sep 8th, 2015

Thank you for the opportunity to help you with your question!

Any integer that cannot be divided exactly by 2 is an odd number

let first number be x,2nd is x+2,3rd is x+4,4th is x+6

(x+x+2+x+4)=(x+6)+30

3x+6=x+36

2x=30

x=15

therefore the largest integer is 15+6=21


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Sep 8th, 2015

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