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24-10-2018
Mathematics

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the sum of two consecutive integers is at most the difference between nine times the smaller and five times the larger

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wegnerkolmp2741o wegnerkolmp2741o

24-10-2018

two consecutive integers: x,x+1

x+(x+1) = 9(x) - 5(x+1)

2x+1 = 9x-5x-5

2x+1 = 4x-5

subtract 2x from each side

1 = 2x-5

add 5 to each side

6 = 2x

divide by 2

x=3

the integers are 3 and 4

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