Problema Solution

2. Find three consecutive odd integers such that the sum of the second and the third is equal to four times the first.

Answer provided by our tutors

the three consecutive odd integers can be written as:


2x - 1, 2x + 1, 2x + 3, where x is integer


the sum of the second and the third is equal to four times the first


2x + 1 + 2x + 3 = 4(2x - 1)


by solving we find


x = 2


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2*2 - 1 = 3


2*2 + 1 = 5


2*2 + 3 = 7


the three consecutive odd integers are 3, 5 and 7.