For this case we have the following variables:
T: Tonya's age
K: Kevin's age
If Tonya is twice Kevin's age we have:
![T = 2K](https://img.qammunity.org/2019/formulas/mathematics/high-school/wydlhz8l5hv5nzxdrf1cfamgk5mzphjxz8.png)
In three years Tonya will have 17, it means:
![T +3=17](https://img.qammunity.org/2019/formulas/mathematics/high-school/la958he36oa7ukisl6a2axyp7x15xsflk8.png)
We have a system of two equations with two unknowns:
![T=2K](https://img.qammunity.org/2019/formulas/mathematics/high-school/zxeiw96xat72dncfjaofuyeh9plmhrb5jt.png)
![T+3=17](https://img.qammunity.org/2019/formulas/mathematics/high-school/s5awdr5kzpw5j5ordcz1qf0z25jpwlhd25.png)
From the second equation we have:
![T = 17-3 = 14](https://img.qammunity.org/2019/formulas/mathematics/high-school/vvqekqliqofyzcplov7vaav1yucwc0lzjv.png)
Substituting T = 14 in the first equation we have:
![14 = 2K](https://img.qammunity.org/2019/formulas/mathematics/high-school/oaq8jfi70bm3njtg25ul1192j7eejkph54.png)
Clearing K:
![(14)/(2)=K](https://img.qammunity.org/2019/formulas/mathematics/high-school/1kjg3v8hi5x6xj9sslhuxge9qpobf9aua3.png)
So, Kevin is 7 years old
Answer:
7 years
Option C