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17 July, 09:16

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

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  1. 17 July, 10:58
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    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.
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