SOLUTION: In 2005, Jenny's age is twice of Beth's age. What is Beth's age in 2023 if Jenny is 24 more than half of Beth's age?

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Question 1200681: In 2005, Jenny's age is twice of Beth's age. What is Beth's age in 2023 if Jenny is 24 more than half of Beth's age?
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
In 2005, Jenny's age is twice of Beth's age.


What is Beth's age in 2023 if Jenny is 24 more than half of Beth's age?
That is eightteen more years, but unclear - now or then?
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
In 2005, Jenny's age is twice of Beth's age. What is Beth's age in 2023 if Jenny is 24 more than half of Beth's age?

Let Beth's age, in 2023, be B
Then Jenny's, in 2023 = 
Eighteen years before, in 2005, Beth was B - 18, while Jenny was twice that, or 2(B - 18), or 2B - 36
In 2005, Jenny was also, 
We then get: 
              4B - B = 84 ----- Multiplying by LCD, 2
                  3B = 84
In 2023, Beth, or

Answer by greenestamps(13210)   (Show Source): You can put this solution on YOUR website!


While the problem asks us to find Beth's age in 2023 (now), setting the problem up using her current age as the variable makes the path to the solution more difficult than needed.

Given the fact that Jenny's age was twice Beth's age in 2005, I would use my variable to represent Beth's age in 2005:

x = Beth's age in 2005
2x = Jenny's age in 2005
x+18 = Beth's age in 2023
2x+18 = Jenny's age in 2023

Now, Jenny's age is 24 more than half Beth's age:






ANSWER: Beth's age (now, in 2023) is x+18 = 10+18 = 28
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