Posted by **Anonymous** on Tuesday, May 4, 2010 at 10:55pm.

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 -
**MathMate**, Wednesday, May 5, 2010 at 7:06am
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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