### About Age Word Problems:

When solving a word problem, the most important step is to understand the main objective. This gives the student a laser focus. We can then filter through all of the information, leading to an equation that can be solved. We then provide an answer and check to make sure it is reasonable.

Test Objectives

- Demonstrate the ability to read a word problem and understand the main objective
- Understand how to set up an equation based on the information given in a word problem
- Demonstrate the ability to check the solution to a word problem

#1:

Instructions: solve each word problem

a) Jamie and Lynn are sisters. Lynn’s age is currently double that of Jamie’s age. Additionally, the sum of Jamie’s age and Lynn’s age is 45. How old is each sibling?

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#2:

Instructions: solve each word problem

a) Three people in a room, Jason, Larry, and Jennifer have a combined age of 97 years. One year ago, Larry’s age was four times the current age of Jason. Additionally, Jason is currently 1/3 of the age of Jennifer. How old is each person?

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#3:

Instructions: solve each word problem

a) At the school fair, a teacher is trying to determine if Charles, Beth, and Holly can each ride on the Squirrel Cages. In order to ride the Squirrel Cages, the minimum age is 15 years old. The teacher knows that 5 years ago, Beth was the same age as Charles is today. Additionally, she also knows that Holly is 3 years older than Beth. If the sum of Charles’ age and Beth’s age is the same as Holly’s age 7 years from now, who can ride in the Squirrel Cages?

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#4:

Instructions: solve each word problem

a) Katlyn and Sarah are best friends. Sarah is 36 years less than double Katlyn’s age. In 6 years, Sarah’s age will be 12 years more than half of Katlyn’s age. How old is each girl?

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#5:

Instructions: solve each word problem

a) Three colleagues, Jessica, Jen, and Aya, are trying to guess the ages of each other. They find out that in 9 years, Jessica will be as old as Jen is today. Additionally, they find out that 11 years ago, Aya’s age would have been half of Jen’s current age. Additionally, they know that the sum of Jessica’s age and Jen’s age is the same as subtracting 1 away from the result of doubling Aya’s current age. How old is each girl?

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Written Solutions:

#1:

Solutions:

a) Jamie is 15 years old, Lynn is 30 years old

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#2:

Solutions:

a) Jason is 12 years old, Larry is 49 years old, and Jennifer is 36 years old

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#3:

Solutions:

a) Charles 10 - Can’t ride, Beth 15 - Can ride, Holly 18 - Can ride

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#4:

Solutions:

a) Katlyn is 30 years old, Sarah is 24 years old

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#5:

Solutions:

a) Jessica is 21 years old, Jen is 30 years old, and Aya is 26 years old