Answer: 12
Explanation:
Let's assume Patty's age is represented by the variable "P".
According to the given information:
The sum of twice Patty's age and her mother's age is 74:
2P + M = 74 (Equation 1)
Patty's mother's age is 14 more than three times Patty's age:
M = 3P + 14 (Equation 2)
To find Patty's age (P), we can solve these two equations simultaneously.
Substituting Equation 2 into Equation 1, we get:
2P + (3P + 14) = 74
5P + 14 = 74
5P = 74 - 14
5P = 60
P = 60 / 5
P = 12
Therefore, Patty's age is 12.