Two Age Word Problems: Solving for Current Age and Future Age

  • Thread starter harpazo
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In summary, we discussed two age word problems involving future ages. The first one involved Orlando, who will be three times older in 10 years than his current age. By solving the equation, we found out that Orlando's current age is 5 years. The second problem involved Karen, who will be four times older in 20 years than her current age. By solving the equation, we found out that Karen's current age is 6 years and 7 months (or 6 years and 7 days).
  • #1
harpazo
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Homework Statement
For each problem, find the current age.
Relevant Equations
A. x + 10 = 3x

B. K + 20 = 4K
Last two practice age word problems for today. More tomorrow for sure.

1. Ten years from now, Orlando will be three times older than he is today. What is his current age?

Let x = Orlando's current age.

Let x + 10 = Orlando's age 10 years from now.

x + 10 = 3x

10 = 3x - x

10 = 2x

10/2 = x

5 = x

Orlando is 5 years old.

Check:

x + 10 = 3x

5 + 10 = 3(5)

15 = 15

My x-value checks to be true. 2. In 20 years, Kayleen will be four times older than she is today. What is her current age?

Let K = Karen's current age.

Let K + 20 = Karen's age in 20 years.

K + 20 = 4K

K - 4K = -20

-3K = -20

K = -20/-3

K = 20/3

Karen is 20/3 years old.

Let 20/3 = 6.6666666667

Rounding to one decimal place, I get 6.7.

I say Karen is 6 years, 7 months old.

Should it be 6 years, 7 days?

Check:

K + 20 = 4K

Let K = 20/3

(20/3) + 20 = 4(20/3)

26.6 = 80/3

26.6 = 26.6
 
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  • #2
You could leave the answer at ##6.666\overline{6}## years. If you want to change the fractional part to months, remember that ##0.666\overline{6}## is 2/3 of a year, or 2/3 of 12 months. If you want to change it to days, that is 2/3 of 365 days.
 
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  • #3
FactChecker said:
You could leave the answer at ##6.666\overline{6}## years. If you want to change the fractional part to months, remember that ##0.666\overline{6}## is 2/3 of a year, or 2/3 of 12 months. If you want to change it to days, that is 2/3 of 365 days.
Cool. Thanks. Contented.
 

Related to Two Age Word Problems: Solving for Current Age and Future Age

1. What are age word problems?

Age word problems are mathematical problems that involve the ages of individuals or groups of people. They usually require the use of algebraic equations to solve.

2. How do you solve age word problems?

To solve age word problems, you need to first identify the unknown variables and then set up equations based on the given information. You can then solve the equations to find the unknown variables.

3. Can you provide an example of a two more age word problem?

Sure, here's an example: John is 10 years older than his sister. In 5 years, John will be twice as old as his sister. How old is John now?

4. What are some common strategies for solving age word problems?

Some common strategies for solving age word problems include setting up equations, creating a table or chart to organize the information, and using logic and reasoning to determine relationships between the ages.

5. Are there any tips for solving age word problems more efficiently?

Yes, some tips for solving age word problems more efficiently include reading the problem carefully, identifying the unknown variables, setting up equations correctly, and checking your answer to ensure it makes sense in the context of the problem.

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