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21 November, 11:00

The sum of a brother's and sister's ages is 57 years. If the brother is 5 years older than his sister, find their ages.

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Answers (2)
  1. 21 November, 11:36
    0
    We can make formulas for this.

    Assume x=male age and y=female age.

    From this problem, we know that x+y=57 and x-5=y since the brother is older. We can do substitution and plug in the second formula into the first.

    x + (x-5) = 57

    2x-5=57 Add like terms (x)

    2x=62 Isolate

    x=31

    Then plug this into the original to find out y.

    x+y=57

    31+y=57

    y=26
  2. 21 November, 13:17
    0
    Answer: Brother = 31, sister = 26

    Step-by-step explanation:

    first, take 57, and minus the difference of the ages (5) = 52. divide that between both of them, getting 26, and 26. Since the brother is 5 years older, add 5 to one of the 26's and you get 26, and 31.

    Check if its correct: 26+31=57
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