SOLUTION: Jack is twice as old as Jill was, when Jack was as old as Jill is now. Together Jack and Jill are 28 years old. How old is Jack? How old is Jill?

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Question 214988: Jack is twice as old as Jill was, when Jack was as old as Jill is now. Together Jack and Jill are 28 years old. How old is Jack? How old is Jill?
Answer by drj(1380) About Me  (Show Source):
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Jack is twice as old as Jill was, when Jack was as old as Jill is now. Together Jack and Jill are 28 years old. How old is Jack? How old is Jill?

Step 1. Let x be age of Jill and 2x be age of Jack.

Step 2. x+2x=28 as given by the statement

3x=28

x=28%2F3

With x=28/3 or 9 years and 4 months, then 2x=56/3 or 18 years and 8 months where 1 year = 12 months or 1/3 year = 4 months and 2/3 year = 8 months

Step 3. Answer Jill is 9 years and 4 months and Jack is 18 years and 8 months.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J