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13 November, 17:20

Adam, Brian, and Casey are all brothers. Brian is three years less than twice Casey's age. Adam is 9 years older than Casey. The sum of their ages is 46. How old is each of the brothers

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  1. 13 November, 18:32
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    Let Casey's age be x

    Brian's age will be - 3 from 2 times x (Casey's age) so it will be 2x-3

    Adam's age will be Casey's age (x) + 9 which is x+9

    NOW the sum of all these ages is 46 so ...

    Casey's age + Brian's age + Adam's age = 46

    x + 2x-3 + x+9 = 46

    2x + x + x + 9 - 3 = 46

    4x + (9 - 3) = 46

    4x - 6 = 46

    now transfer the numbers on the left one by one to the other side (right)

    4x = 46 - 6 (always remember the sign of the number becomes the opposite when we transfer them to other side)

    4x = 40

    x = 40 / 4

    x = 10

    so x = Casey's age = 10

    2x - 3 = Brian's age = 2 * 10 - 3

    = 20 - 3 = 17

    x + 9 = Adam's age = 10 + 9 = 19
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