covarrubiaslind covarrubiaslind

27-09-2017
Mathematics

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suppose there are three consecutive intergers.if two times the first is added to twice the middle, the results is 69 minus the largest number. what is the largest number?

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kishonwinston kishonwinston

27-09-2017

3 consecutive means
x, x+1, x+2
OR
x, x-1, x-2

the equation based on givens and first equation is:

2(x) + 2(x+1) = 69 - (x+2)
4x + 2 = 67 - x
5x = 65
x = 13

so the largest would be x+2 or 15

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