asked 115k views
4 votes
Tonya is twice Kevin's age.

In 3 years, Tonya will be 17.
How old is Kevin?
A.
6
B.
20
C.
7
D.
8

asked
User Bhimbim
by
8.4k points

2 Answers

4 votes

Hi there, Kevin's age would be C. 7. This is because Tonya right now is 14. 7 is half of 14.


answered
User Kurru
by
8.7k points
2 votes

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

In three years Tonya will have 17, it means:



T +3=17

We have a system of two equations with two unknowns:


T=2K


T+3=17

From the second equation we have:
T = 17-3 = 14

Substituting T = 14 in the first equation we have:



14 = 2K

Clearing K:



(14)/(2)=K

So, Kevin is 7 years old


Answer:


7 years


Option C


answered
User DANG Fan
by
8.9k points
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