Carcass wrote:
If X, Y and Z are consecutive numbers (X>Y>Z). X +2Y +3Z = 5Y + 4. What is the value of Z?
A. 6.
B. 5.
C. 4.
D. 3.
E. 2.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookIf , Y and Z are
consecutive numbers AND Z < Y < X, then we know that....
Y = Z + 1
X = Z + 2
Now take the given equation (X +2Y + 3Z = 5Y + 4) and replace Y and X with Z+1 and Z+2
We get: (Z+2) +2(Z+1) + 3Z = 5(Z+1) + 4
Expand: Z+2 + 2Z + 2 + 3Z = 5Z + 5 + 4
Simplify both sides: 6Z + 4 = 5Z + 9
Solve: Z = 5
Answer: B
Cheers,
Brent