Algebra word problem

Question

Find three consecutive odd  integers such that four times the largest is one more than nine times the smallest integer.

Answer 1

smallest odd integer: X

next odd integer: X+2

largest odd integer: X+4

 

4(X+4) = 9X + 1

4X + 16 = 9X + 1

0 = 9X + 1 - 4X - 16

0 = 5x - 15

 

15 = 5x

x=3

 

3,5, and 7