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 four times the first:

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

by solving we find:

x = 2

click here to see the step by step solution of the equation:

2*2 - 1 = 3

2*2 + 1 = 5

2*2 + 3 = 7

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