multi step equations

Question

Linda is twice as old as Vera. Tanya is four less than four times the age of Linda. Their total age is two more than nine times the age of Vera. How old is Tanya?

Answer 1

V = Vera's age

2V = Linda's age

8V - 4 = Tanya's age

total age = 9V + 2

V + 2V + 8V - 4 = 9V + 2

11V - 4 = 9V + 2

2V = 6

V = 3

Tanya's age = 8V - 4 = 8(3) - 4 = 20

Answer 2

Tanya is 20 years old

L=2V (Vera is 3, Linda is 6)

T=4L-4 (20=4x6-4)

T+L + V= 2+ 9V (20+6 + 3 = 2+9x3)

V=L/2

L=(T+4)/4 = T/4 + 1

T=2+9V-L-V

T= 2+ 8V-2V = 2+6V = 2+3L

T=2+3L = 2+3(T/4+1)

T=2+3 + 3T/4

T/4 = 5

T = 20

L= (T+4)/4 = 24/4 = 6

V = 6/2 = 3