Math

Bernie is the oldest of the four Bryant brothers. Bobby is twice as old as Billy, but 2 years younger than Bernie. Bernie is twice as old as Buddy. The youngest Bryant brother is 6 years old. What are the ages of the four Bryant brothers?

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asked by Alec
  1. Let's start with Buddy, let his age be x

    "Bernie is twice as old as Buddy"
    Bernie is 2x

    "Bobby is 2 years younger than Bernie"
    Bobby is 2x-2

    "Bobby is twice as old as Billy"
    Billy is 1/2 Bobby's age or x-1

    looks like Billy could be the youngest, so
    x-1 = 6
    x=7

    Then
    Buddy is 7
    Bernie is 14
    Bobby is 12 and
    Billy is 6

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    posted by Reiny

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