SOLUTION: kaylene is 30 yrs. old and jessica is 22 yrs. old. how many years ago was kaylene twice as old as jessica?

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Question 97904: kaylene is 30 yrs. old and jessica is 22 yrs. old. how many years ago was kaylene twice as old as jessica?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to find out their ages in the past, then you subtract x years from their current age.

So x years ago, Kaylene was 30-x years old. Since Kaylene was twice as old as Jessica, this means if you multiply Jessicas age x years ago by 2 you'll get Kaylene's age. In other words, Jessica was 2%2822-x%29=44-2x years old


30-x=44-2x Set up the translated equation

-x=44-2x-30Subtract 30 from both sides


-x%2B2x=44-30 Add 2x to both sides


x=44-30 Combine like terms on the left side


x=14 Combine like terms on the right side

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Answer:
So our answer is x=14


So 14 years ago, Kaylene was 30-14=16 years old and Jessica was 22-14=8 years old

Here we can see that 14 years ago Kaylene is twice as old as Jessica. So our answer is confirmed.