SOLUTION: Jennifer is twice as old as Ramon. The sum of their ages 7 yrs ago was 13. How old are they now? please explain steps thank you

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Question 613198: Jennifer is twice as old as Ramon. The sum of their ages 7 yrs ago was 13. How old are they now?
please explain steps
thank you

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Jennifer is twice as old as Ramon. The sum of their ages 7 yrs ago was 13. How old are they now?
.
Let x = age (years) of Ramon
then from "Jennifer is twice as old as Ramon."
2x = age (years) of Jennifer
.
Our equation comes from "The sum of their ages 7 yrs ago was 13"
Ramon's age, 7 yrs ago: x-7
Jennifer's age 7 yrs ago: 2x-7
.
x-7 + 2x-7 = 13
3x-14 = 13
3x = 27
x = 9 years old (Ramon)
.
Jennifer:
2x = 2(9) = 18 years old