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 uncle rob will be 3 times tonyas age

Answer 1

The age of Tonya is 14

The age of Kevin is 7

The age of uncle Rob is 60

Explanation:

Let T denote Tonya

Let K denote Kevin

Let R denote Uncle Rob

Tonya is twice Kevin's age, the expression can be written as

$T=2K$  -------(1)

Kevin’s age in three years Tonya will be 17, the expression can be written as

$T+3=17$  --------(2)

In another three years uncle uncle rob will be 3 times Tonya's age, the expression can be written as

$R=3(T+3+3)$  ---------(3)

From (2), $T=14$

Thus, the age of Tonya is 14 years.

Substituting $T=14$ in $T=2K$, we get,

$14=2K\\7=K$

Thus, The age of Kevin is 7 years.

Substituting $T=14$ in $R=3(T+3+3)$, we get,

$R=3(14+6)\\R=3(20)\\R=60$

Thus, The age of uncle Rob is 60