If X, Y and Z are consecutive numbers (X>Y>Z). X +2Y +3Z = 5Y + 4. What is the value of Z?
Choose the correct option:  A) 6.  B) 5.  C) 4.  D) 3.  E) 2.
Let the 3 consecutive integers be k-1 (Z), k (Y) and k+1 (X). Given : X +2Y +3Z = 5Y + 4.   k+1 + 2k + 3k - 3   +2  +3= 
<gadget id="calculator">  +2  +3</gadget>
<output>5</output>
5Y + 4.   k+1 + 2k + 3k - 3= 5k+ 4 =&gt; k =6.   Thus Z = k-1 = 5.   ANSWER:5.
<result>B</result>
If X, Y and Z are consecutive numbers (X>Y>Z). X +2Y +3Z = 5Y + 4. What is the value of Z?