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algebra

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beth is two years older than julio.Gerald is twice as old as beth.debra is twice as old as gerald.the sum of theIr ages is 38.how old is beth?

  • algebra -

    B=age of Beth,
    J=age of Julio
    G=age of Gerald
    D=age of Debra

    Equations, expressed in terms of J
    B=J+2
    G=2B=2(J+2)=2J+4
    D=2G=2(2J+4)=4J+8
    Finally
    J+B+G+D=38 and substitute above values:
    J+(J+2)+(2J+4)+4J+8=38
    8J+14=38
    J=3
    Backsubstitute J in the above equations to get the ages of Beth, Gerald and Debra.

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