Answer: The value of Z is 14
Step-by-step explanation: The numbers are X, Y and Z and they are described as consecutive integers. That means there is a difference of 2 between each number (just like even numbers 2, 4, 6 8...). In other words if the first number is X, the next number would be X+2, while the third one would be X+4, and so on. This means Y would be X+2 and Z would be X+4.
However, 3 times the value of Z (X+4) exceeds half of X (X/2) by 37. This can be expressed as follows;
3(X + 4) = X/2 + 37
3X + 12 = X/2 + 37
3X - X/2 = 37 - 12
(6X - X)/2 = 25
6X - X = 25 * 2
5X = 50
Divide both sides of the equation by 5
X = 10
Therefore, Z (X + 4) equals 10 + 4 which gives you 14
The value of Z = 14