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18 February, 00:24

The total height of Bill, Mary, and Rob is 180 cm. Rob is twice as tall as Bill and Mary is 28 cm taller than Bill. How tall is Rob?

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Answers (2)
  1. 18 February, 02:19
    0
    Rob is 76 cm tall.

    Step-by-step explanation:

    Let b = height of bill.

    Let m = height of Mary.

    Let r = height of Rob.

    "the total heigh of bill mary and rob is 180 cm"

    b + m + r = 180 Equation 1

    "bob * is twice as tall as bill"

    *I think you meant Rob is twice as tall as Bill.

    r = 2b

    "mary is 28 cm taller than bill"

    m = b + 28

    Substitue r = 2b and m = b + 28 into Equation 1.

    b + b + 28 + 2b = 180

    4b + 28 = 180

    4b = 152

    b = 38

    r = 2b

    r = 2 (38) = 76

    Rob is 76 cm tall.
  2. 18 February, 02:31
    0
    76 cm

    Step-by-step explanation:

    The total height is 180 cm. We set Bill as x. Rob is 2x. Mary is 28+x.

    x + 2x + (28+x) = 180

    4x + 28 = 180

    4x = 152

    x = 38

    This means that Bill is 38 cm. Rob is 2x.

    2x = 2 (38) = 76
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