Michael is 2 years older than his friend Jason. 16 years ago, Jason was half of Michael’s age. how old is Jason now?

Question

Michael is 2 years older than his friend Jason. 16 years ago, Jason was half of Michael’s age. how old is Jason now?

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Kim Chi 5 months 2021-08-15T07:06:41+00:00 1 Answers 7 views 0

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    2021-08-15T07:08:34+00:00

    Answer:

    The present age of Jason is 18 years.

    Step-by-step explanation:

    Let the present age of Jason be x years.

    Michael is 2 years older than Jason.

    So, the present age of Michael be x+2 years.

    16 years ago,

    Jason’s age =x-16 years.

    Michael’ age =x+2-16=x-14 years.

    According to the question, 16 years ago, Jason was half of Michael’s age.

    So, x-16=\frac{1}{2}(x-14)

    \Rightarrow 2\left ( x-16 \right )=(x-14)

    \Rightarrow 2x-32=x-14

    \Rightarrow 2x-x=-14+32

    \Rightarrow x=18

    Hence, the present age of Jason is 18 years.

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