SOLUTION: How do I translate to a system of equations and solve? Corrin is 23 years older than Beth. In 9 years, Corrin will be twice as old as Beth. How old are they now?

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Question 135066This question is from textbook Algebra 1 workbook
: How do I translate to a system of equations and solve?
Corrin is 23 years older than Beth. In 9 years, Corrin will be twice as old as Beth. How old are they now? This question is from textbook Algebra 1 workbook

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
c=b+23 now.
c+9=2b or c=2b-9 now replace c in the first equation by (2b-9)
2b-9=b+23
2b-b=23+9
b=32 age of Beth now.
c=32+23
c=55 age of Corrin now.
55+9=2*32
64=64