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

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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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