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

Let the age of Vera be 'x' years

So the age of Linda is '2x' years

Now Tanya is 4 less than 4 times Linda

So age of Tanya = 4(2x) -4 = 8x -4 years

So total age of Vera , Linda & Tanya

= x + 2x + 8x - 4

= 11x - 4

But it is 2 less than 9 times Vera's age

11x - 4 = 9x + 2

11x - 9x = 4+2

2x = 6

x = 3

So Vera's age = 3 years

Linda's age = 2(3) = 6 years

Tanya's age = 8x - 4 = 8(3) - 4 = 24-4=20 years

Tanya is 20 years old.