The sum of the ages of three brothers Tema,Juma and Abdul is 65 years. Juma is twice as old as Abdul and a half times as old as Tema. Determ

Question

The sum of the ages of three brothers Tema,Juma and Abdul is 65 years. Juma is twice as old as Abdul and a half times as old as Tema. Determine their present age

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Ngọc Diệp 1 year 2021-09-05T15:56:34+00:00 1 Answers 26 views 0

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    2021-09-05T15:58:15+00:00

    Answer:

    Tema = 26 years

    Juma = 13 years

    Abdul = 26 years

    Step-by-step explanation:

    Let their ages be represented as:

    Tema = x

    Juma = y

    Abdul = z

    From the question, we are told that:

    Juma is twice as old as Abdul

    y = 2z

    z = y/2

    = 0.5y

    And Juma is a half times as old as Tema.

    y = 1/2x

    y = 0.5x

    x = y/0.5

    x = 2y

    Hence,

    x + y + z = 65

    2y + y + 2y = 65

    = 5y = 65

    y = 65/5

    y = 13 years

    Since y = Zuma’s age, Zuma is 13 years old

    From the above question

    Since 2y = z

    y = 13

    2 × 13 = z

    z = 26

    Since z = Abdul’s age, Abdul is 26 years old

    From the above question

    x = 2y

    y = 13 years

    x = 2 × 13 years

    x = 26 years.

    Since x = Tema’s age

    Tema is 26 years.

    Therefore, their present ages are:

    Tema = 26 years

    Juma = 13 years

    Abdul = 26 years

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