The combined age of X, Y, and Z is $190$ years. The difference between the ages of X and Y is twice the difference between the ages of Y and Z. If the...
Question
The combined age of X, Y, and Z is $190$ years. The difference between the ages of X and Y is twice the difference between the ages of Y and Z. If the ratio of Y's age to Z's age is , and it is given that , with all ages being integers, what is the minimum possible age of X (in years)?