X, Y, and Z are consecutive numbers and X > Y > Z.
X, Y, and Z are consecutive numbers and X > Y > Z. Also, 2X + 3Y + 3Z = 5Y + 11. What is the value of Z?
Answer/Solution
3
Steps/Work
If X, Y, and Z are consecutive numbers and X > Y > Z, then Y = Z+1 and X = Z+2.
2X + 3Y + 3Z = 5Y + 11
2Z+4+3Z+3+3Z = 5Z+5+11
3Z = 9
Z = 3
The answer is B.
2X + 3Y + 3Z = 5Y + 11
2Z+4+3Z+3+3Z = 5Z+5+11
3Z = 9
Z = 3
The answer is B.