# 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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