Age problems are algebra word problems that deal with the ages of people currently, in the past or in the future.

**Related Pages**

Word Problems Involving Age

Solving Age Word Problems Using Algebra

More Algebra Lessons

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.

**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.

<img loading=“lazy” src="/image-files/age-problem-equation-1.gif" alt=“age problem equation” title=“age problem equation"width=“104” height=“85”>

Isolate variable *x*

**Answer:** John is now 18 years old.

**Examples:**

- In 4 years, Ali will be 3 times as old as he is today. How old is Ali today?
- Nazrat is 4 years older than Unama. 2 years ago, Nazrat was 5 times as old as Unama. How old is Nazrat today?

**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:**

- Sally is 3 times as old as John. 8 years from now, Sally will be twice as old as John. How old is John?
- Kim is 6 years more than twice Timothy’s age. 2 years ago, Kim was three times as old as Timothy. How old was Kim 2 years ago?
- Leah is 2 less than 3 times Rachel’s age. 3 years from now, Leah will be 7 more than twice Rachel’s age. How old will Rachel be 3 years from now?
- Becca is twice as old as Susan and Greg is 9 years older than Susan. 3 years ago, Becca was 9 less than 3 times Susan’s age. How old is Greg now?
- Lauren is 3 less than twice Andrew’s age. 4 years from now, Sam will be 2 more than twice Andrew’s age. 5 years ago, Sam was 3 times Andrew’s age. How old was Lauren 5 years ago?
- Gabby is 1 year more than twice Larry’s age. 3 years from now, Megan will be 27 less than twice Gabby’s age. 4 years ago, Megan was 1 year less than 3 times Larry’s age. How old will Megan be 3 years from now?

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