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Word Problems Involving Age
Solving Age Word Problems Using Algebra
More Algebra Lessons
Age problems are algebra word problems that deal with the ages of people currently, in the past or in the future.
Solving algebra age problems involves translating the word problem into algebraic equations and then solving those equations to find the unknown ages.
If the problem involves a single person, then it is similar to an Integer Problem. Read the problem carefully to determine the relationship between the numbers. This is shown in the following example involving a single person.
If the age problem involves the ages of two or more people then using a table would be a good idea. A table will help you to organize the information and to write the equations. This is shown in the age problems: examples involving more than one person.
The following diagram shows how to solve an age word problem involving one person. Scroll down the page for more examples and solutions.
Algebra Worksheets
Practice your skills with the following Algebra worksheets:
Printable & Online Algebra Worksheets
Check out many other Algebra Word Problems
Age Word Problems, Average Word Problems, Coin Word Problems, Consecutive Integer Word Problems, Digit Word Problems, Distance Word Problems, Fraction Word Problems, Geometry Word Problems, Integer Word Problems, Interest Word Problems, Lever Word Problems, Mixture Word Problems, Money Word Problems, Motion & Distance Word Problems, Number Sequence Word Problems, Proportion Word Problems, Quadratic Equation Word Problems, Ratio Word Problems, Symbol Word Problems, Variation Word Problems, Work Word Problems.
Example 1:
Five years ago, John’s age was half of the age he will be in 8 years. How old is he now?
Solution:
Step 1: Let x be John’s age now. Look at the question and
put the relevant expressions above it.
Step 2: Write out the equation.
Isolate variable x
Answer: John is now 18 years old.
Examples:
Example:
In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?
Example:
William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?
Examples:
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