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7 October, 13:15

The mother's age is 8 times her son's age. After 6 years, the age of the mother will be 9/2 times her son's age. The present ages of the son and the mother are, respectively

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  1. 7 October, 13:29
    0
    Son's present age is 6.

    Mother's present age is 48.

    Step-by-step explanation:

    Let the mother age be x.

    Let the son's age be y.

    x = 8y

    x + 6 = 9/2 * (y + 6)

    Put x as 8y in the second equation and solve for y.

    8y + 6 = 9/2 (y + 6)

    8y + 6 = 9/2y + 27

    8y - 9/2y = 27 - 6

    7/2y = 21

    y = 21 * 2/7

    y = 42/7

    y = 6

    Put y as 6 in the first equation and solve for x.

    x = 8 (6)

    x = 48
  2. 7 October, 13:31
    0
    son = 6 mother = 48

    Step-by-step explanation:

    Mother = m

    son = s

    m = 8s

    m+6 = 9/2 * (s+6)

    so

    2 (8s + 6) = 9 (s + 6)

    16s + 12 = 9s + 54

    16s - 9s = 54 - 12

    7s = 42

    s = 42/7 = 6 years old

    so the mother is 8s = 8*6 = 48 years old
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