Sergio is twice as old as his daughter Inga, who is three years younger than her brother Nage. If the sum of their ages is 63, how old is Nage?

A.) 15

B.) 18

C.) 20

D.) 23

E.) 30

A.) 15

B.) 18

C.) 20

D.) 23

E.) 30

**x = Inga's age**

**2x = Sergio's age**{Sergio is twice as old as Inga}

**x + 3 = Nage's age**{Inga is 3 years younger than Nage}

x + 2x + x + 3 = 63 {the sum of their ages is 63}

4x + 3 = 63 {combined like terms}

4x = 60 {subtracted 3 from each side}

x = 15 {divided each side by 3}

x + 3 = 18 {Nage's age is x + 3}

**B.) 18**

*- Algebra House*