Age Word Problems Test

Betty and Samantha are siblings whose combined age is 51. One year ago, Samantha was two-thirds as old as Betty is today. Find the age of Betty and Samantha.

Three classmates, Jackie, Mason, and Parker have a combined age of 48 years. One year ago, Mason was the same age as Jackie is today. Jackie is 4 years older than Parker. Find the age of Jackie, Mason, and Parker.

On a field trip, a teacher is trying to determine the age of three students: Aya, Molly, and Mary. She is told that four years ago, Aya was the same age as Molly is today and Aya is two years older than Mary. Additionally, she knows that the difference of Aya’s current age and Molly’s current age is the same as Mary’s age nine years ago. Help the teacher find the age of the three girls.

Steven, Leslie, and Natalie are joint business owners. Ten years ago, Steven was twice as old as Natalie is today. Five years ago, Leslie was 1.5 times as old as Natalie is today. If the difference of Steven’s age and Natalie’s age is the same as Leslie’s age five years ago, what is the age of each person?

Three partners, Jim, Mike, and Alvin are trying to guess the ages of each other. They find out that in three years, Mike will be the same age as Jim is today, whereas, in two years, Alvin will be half as old as Jim is today. Additionally, they know that the difference between Jim’s age and Mike’s age is one-sixth the age of Alvin. Find the age of Jim, Mike, and Alvin.