Question 399443
  <pre><font size = 3 color = "indigo"><b>
Hi
consecutive even integers differ by 2
Let x, (x+2),(x+4) represent the three consecutive odd integers
Question states***
 2[x + (x+2)+(x+4)] = 5(x+4) + 23
Solving for x
   x = 43 - 12
   x = 31 The three consecutive odd integers are 31,33,35  
CHECKING our Answer***
2[31 + 33 + 35] = 2*99 = 5*35 + 23 = 198