# How old is Beth?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?

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Let Beth be B

Juli is J

Grald is G

Debra is D

Given that Beth is 2 years older than Julio.

==> B = J + 2

==> J= B-2 ...........(1)

Also given that Debra is twice as old as Gerald.

==> D = 2G ...........(2)

Also, Gerald is twice as Beth.

==> G= 2B.............(3)

==> D= 2(2B)= 4B ............(4)

Given that the sum of their ages is 38.

==> B+J+G+D = 38

==> B+ B-2 + 2B + 4B = 38

==> 8B -2 = 38

==> 8B = 40

==> B= 5

**Then, Beth is 5 years old.**