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6 February, 12:37

Sian is twice as old as her sister Abigail. They divide 30 pounds in the ratio of their ages. How much do Sian and Abigail receive?

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  1. 6 February, 13:05
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    Sian would receive 20 Pounds while Abigail would receive 10 Pounds.

    Step-by-step explanation:

    Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.

    If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be

    T : 2T (Ratio of Abigail's gae to Sian's age)

    The amount received by Abigail

    = T / (T + 2T) * 30

    = T/3T * 30

    = 1/3 * 30

    = 10 Pounds

    The amount received by Sian

    = 2T / (T + 2T) * 30

    = 2T/3T * 30

    = 2/3 * 30

    = 20 Pounds
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