Linda is twice the age of 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?

Tanya is 20 years old

Step-by-step explanation:

Let the age of Vera = x years

The age of Linda is twice the age of Vera = 2x years

Tanya is four less than four times the age of Linda = 4 (2x) - 4 = 8x-4

Total age of Vera, Linda and Tanya is:

x+2x+8x-4

Combine the like terms:

11x-4

But now their total age is two more than nine times the age of Vera:

11x-4 = 9x+2

Solve the expression

Combine the like terms:

11x-9x=2+4

2x=6

Divide both the sides by 2

2x/2 = 6/2

x = 3

Thus the age of Vera is 3 years.

The age of Linda is 2x = 2*3 = 6 years

The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years ...