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4 February, 12:59

Amanda is 3 years older than Brantley and Carlos is twice as old as Amanda. The sum of their ages is 57. How old is Amanda?

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Answers (2)
  1. 4 February, 13:31
    0
    15 years old

    Step-by-step explanation:

    Let's say Amanda's age is a, Brantley's age is b, and Carlos's age is c.

    "Amanda is 3 years older than Brantley" means that a = 3 + b

    "Carlos is twice as old as Amanda" means that c = 2 * a = 2a

    "The sum of their ages is 57" means a + b + c = 57

    We know that a = 3 + b, which can be written as b = a - 3. Substitute a - 3 in for b and 2a in for c in the equation a + b + c = 57 so that we have one variable to solve for:

    a + b + c = 57

    a + (a - 3) + 2a = 57

    4a - 3 = 57

    4a = 60

    a = 15

    Amanda is 15 years old.
  2. 4 February, 16:20
    0
    15

    Step-by-step explanation:

    A = B + 3

    B = A - 3

    C = 2A

    A + B + C = 57

    A + A - 3 + 2A = 57

    4A - 3 = 57

    4A = 60

    A = 15
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