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10 October, 00:48

2. Pat is six years older than twice his Cousin Zach's age. The sum of their ages is less than 36.

What is the greatest age that Zach could be?

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Answers (2)
  1. 10 October, 01:01
    0
    Let denote Pat's age with P and Zach's age with Z.

    We know the following facts:

    1. Pat is six years older than twice his Cousin Zach’s age. We can rewrite this statement as:

    P=2*Z+6

    2. The sum of their ages is less than 36.

    P+Z<36

    In order to find the greatest age that Zach could be we should find for which Z

    P+Z=35 (the first whole number smaller than 36)

    P=35-Z

    35-Z=2*Z+6

    35-6=3Z

    29=3Z

    Z=29/3

    Z=9
  2. 10 October, 01:15
    0
    P = Pat

    C = Cousin Zach

    2C + 6 = P

    2C + 6 - 6 = P - 6

    2C = P - 6

    2C/2 = P - 6/2

    C = P - 3

    C + 3 = P

    so (C + 3) + P < 36

    (C + 3 - 3) + P < 36 - 3

    C + P < 33

    Can you see what I am doing?
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