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
[tex]T=2K[/tex] -------(1)
Kevin’s age in three years Tonya will be 17, the expression can be written as
[tex]T+3=17[/tex] --------(2)
In another three years uncle uncle rob will be 3 times Tonya's age, the expression can be written as
[tex]R=3(T+3+3)[/tex] ---------(3)
From (2), [tex]T=14[/tex]
Thus, the age of Tonya is 14 years.
Substituting [tex]T=14[/tex] in [tex]T=2K[/tex], we get,
[tex]14=2K\\7=K[/tex]
Thus, The age of Kevin is 7 years.
Substituting [tex]T=14[/tex] in [tex]R=3(T+3+3)[/tex], we get,
[tex]R=3(14+6)\\R=3(20)\\R=60[/tex]
Thus, The age of uncle Rob is 60
