Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s age.
Today, Kevin is__
years old, and Uncle Rob is __
years old.

Answer 1

Kevin is 7, Uncle Rob is 54

Explanation:

Let's express the information given by the question statement.

1. Tonya (T) is twice Kevin's (K) age: T = 2K

2. In three years, Tonya (T) will be 17: T + 3 = 17

3. In another three years, Uncle Rob (R) will be 3x Tonya's (T) age: R = 3(T+3+3)

From 2, we can say that Tonya is now 14.

First equation becomes: 17 = 2K ... which means K = 7, Kevin is 7.

Third equation becomes: R = 3 (14 + 3 + 3) = 3 (20) = 60

In six years, Rob will be 60. So, now, he's 54 (60-6).