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23 May, 22:25

Dotty is 51 years old and Esmerelda is 23. How many years ago was Dotty 3 times Esmerelda's age?

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  1. 23 May, 23:16
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    9 years ago.

    Step-by-step explanation:

    Dotty is 51 years old and Esmerelda is 23 now.

    Now, x years ago the age of Dotty was (51 - x) years and the age of Esmerelda was (23 - x) years.

    Assume that x years ago Dotty was 3 times Esmerelda's age.

    So, we can write the equation as

    3 (23 - x) = 51 - x

    ⇒ 69 - 3x = 51 - x

    ⇒ 69 - 51 = 3x - x

    ⇒ 18 = 2x

    ⇒ x = 9 years.

    Therefore, 9 years ago Dotty was 3 times Esmerelda's age. (Answer)
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