linda is twice the age of vera. tanya is 4 less than 4 times the age of linda. their total age is 2 more than nine times the age of vera. how old is tanya?

Respuesta :

If linda is twice the age of vera. tanya is 4 less than 4 times the age of linda. their total age is 2 more than nine times the age of vera. tanya is 20 years old.

Total age

Let Vera's age be v

Let Linda's age be 2v

Let Tanya's age be 8v- 4

Let the total age be 9v + 2

Hence,

v + 2v + 8v- 4 = 9v + 2

11v - 4 = 9v + 2

Collect like terms

2v = 6

Divide both side by 2v

v=6/3

v = 3

So,

Tanya's age = 8v - 4

Tanya's age= 8(3) - 4

Tanya's age=24-4

Tanya's age = 20 years

Therefore if linda is twice the age of vera. tanya is 4 less than 4 times the age of linda. their total age is 2 more than nine times the age of vera. tanya is 20 years old.

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