2 years ago a father was five times as old as his son two years later his age will be 8 more than three times the age of the son represent

Question

2 years ago a father was five times as old as his son two years later his age will be 8 more than three times the age of the son represent this situation algebraically and graphically​

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Mackenzie 1 month 2021-08-14T07:46:15+00:00 1 Answer 0 views 0

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    2021-08-14T07:47:25+00:00

    Answer:

    This solution is algebraic.

    Considering two variables, x(father) and y(son),

    According to the question,

    x - 2 = 5(y - 2)

    x - 2 = 5y - 10

    x = 5y  -  8

    and

    x + 2 = 3(y+ 2) + 8

    x + 2 = 3y + 14

    x = 3y + 12

    Equating both values of x, we get:

    5y  -  12 = 3y + 12

    5y - 3y = 12 + 8

    2y =20

    y = 10

    Applying the value of y to any x equation, like follows, we get:

    x = 3(10) + 12

    x = 30 + 12

    x = 42

    Hope this helps.

    Thanks.

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