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2 June, 22:29

Carlos is 33 years younger than Kristen. 2 years ago, Kristen's age was 2 times Carlos's age. How old is Carlos now?

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  1. 2 June, 22:46
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    Carlos is 35 years old now

    Step-by-step explanation:

    Assume that Carlos is x years old now

    ∵ Carlos is x years old now

    ∵ Carlos is 33 years younger than Kristen

    - Kirsten's age is the sum of x and 33

    ∴ Kirsten is x + 33 years old now

    2 years ago

    ∵ Carlos's age = x - 2

    ∵ Kristen's age = x + 33 - 2 = x + 31

    ∵ Kristen's age was 2 times Carlos's age

    - Equate Kristen's age by 2 times Carlos's age

    ∴ x + 31 = 2 (x - 2)

    - Simplify the right hand side

    ∴ x + 31 = 2x - 4

    - Subtract x from both sides

    ∴ 31 = x - 4

    - Add 4 to both sides

    ∴ 35 = x

    ∵ x represents Carlos's age now

    ∴ Carlos is 35 years old now
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