Solving Age Problems: Substitution & Elimination Methods

Maria is 3 years older than John. In 5 years, the sum of their ages will be 45. What are their current ages? (Use substitution method)

• John is 20 years old and Maria is 23 years old.

• John is 14 years old and Maria is 17 years old.

• John is 15 years old and Maria is 18 years old.

• John is 16 years old and Maria is 19 years old.

Tom is twice as old as Sarah. Five years ago, the sum of their ages was 30. How old are they now? (Use elimination method)

• Tom is 30 years old and Sarah is 20 years old.

• Tom is 18 years old and Sarah is 9 years old.

• Tom is 20 years old and Sarah is 10 years old.

• Tom is 25 years old and Sarah is 15 years old.

Lily is 4 years younger than her brother Mark. In 6 years, Mark will be 2 times as old as Lily. What are their current ages? (Use substitution method)

• Mark is 14 years old and Lily is 10 years old.

• Mark is 18 years old and Lily is 14 years old.

• Mark is 20 years old and Lily is 16 years old.

• Mark is 16 years old and Lily is 12 years old.

A father is 4 times as old as his son. In 20 years, the father will be twice as old as the son. How old are they now? (Use elimination method)

• Father: 40, Son: 10

• Father: 30, Son: 10

• Father: 50, Son: 20

• Father: 20, Son: 5

Samantha is 5 years older than her sister. The sum of their ages is 35. How old are they? (Use substitution method)

• Samantha is 22 years old and her sister is 17 years old.

• Samantha is 25 years old and her sister is 20 years old.

• Samantha is 20 years old and her sister is 15 years old.

• Samantha is 18 years old and her sister is 13 years old.

Jake is 2 years younger than his cousin Emily. In 8 years, the sum of their ages will be 50. What are their current ages? (Use elimination method)

• Jake is 14 years old and Emily is 16 years old.

• Jake is 18 years old and Emily is 20 years old.

• Jake is 12 years old and Emily is 14 years old.

• Jake is 16 years old and Emily is 18 years old.

Anna is 6 years older than her friend Ben. In 4 years, Anna will be 1.5 times as old as Ben. What are their current ages? (Use substitution method)

• Anna is 12 years old and Ben is 6 years old.

• Anna is 16 years old and Ben is 10 years old.

• Anna is 14 years old and Ben is 8 years old.

• Anna is 10 years old and Ben is 4 years old.

Aunt Lisa is 10 years older than her niece. The sum of their ages is 50. How old are they? (Use elimination method)

• Aunt Lisa is 25 years old and her niece is 15 years old.

• Aunt Lisa is 30 years old and her niece is 20 years old.

• Aunt Lisa is 35 years old and her niece is 25 years old.

• Aunt Lisa is 40 years old and her niece is 30 years old.

Kevin is 3 years older than his sister. In 10 years, Kevin will be twice as old as his sister. What are their current ages? (Use substitution method)

• Kevin is 4 years old and his sister is 1 year old.

• Kevin is 10 years old and his sister is 7 years old.

• Kevin is 6 years old and his sister is 3 years old.

• Kevin is 8 years old and his sister is 5 years old.

Two friends, Alex and Jamie, are 5 years apart in age. In 3 years, the sum of their ages will be 45. How old are they now? (Use elimination method)

• Alex is 22 years old and Jamie is 17 years old.

• Alex is 20 years old and Jamie is 15 years old.

• Alex is 25 years old and Jamie is 20 years old.

• Alex is 30 years old and Jamie is 25 years old.