Solving Age-Related Word Problems with Equations

Maria is 3 years older than John. In 5 years, the sum of their ages will be 45. How old are Maria and John now?

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

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

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

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

A mother is twice as old as her daughter. In 10 years, the mother will be 1.5 times the age of her daughter. How old are they now?

• Daughter: 15, Mother: 30

• Daughter: 10, Mother: 20

• Daughter: 8, Mother: 16

• Daughter: 5, Mother: 10

Tom is 4 years younger than his brother. The sum of their ages is 36. How old are Tom and his brother?

• Tom is 18 years old and his brother is 22 years old.

• Tom is 16 years old and his brother is 20 years old.

• Tom is 14 years old and his brother is 18 years old.

• Tom is 12 years old and his brother is 16 years old.

Samantha is 5 years older than her sister. If the sum of their ages is 25, how old are they?

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

• Samantha is 12 years old and her sister is 7 years old.

• Samantha is 15 years old and her sister is 10 years old.

• Samantha is 20 years old and her sister is 5 years old.

Two friends, Alex and Jamie, are 2 years apart in age. If Jamie is currently 10 years old, how old is Alex?

• 10

• 14

• 12

• 8

Liam is 6 years older than his cousin. If the cousin is x years old, write a system of equations to find their ages if the sum of their ages is 30.

• Liam is 18 years old and his cousin is 12 years old.

• Liam is 24 years old and his cousin is 18 years old.

• Liam is 20 years old and his cousin is 10 years old.

• Liam is 15 years old and his cousin is 9 years old.

Ella is 8 years younger than her father. If the father is currently 40 years old, how old is Ella?

• 35

• 30

• 32

• 28

A grandfather is 20 years older than his grandson. If the grandson is 15 years old, how old is the grandfather?

• 30

• 35

• 25

• 40

The sum of the ages of a father and son is 50. If the father is 4 times as old as the son, how old are they?

• Father: 36, Son: 14

• Father: 50, Son: 0

• Father: 40, Son: 10

• Father: 30, Son: 20

In 3 years, the sum of the ages of two sisters will be 50. If one sister is currently 5 years older than the other, how old are they now?

• Younger sister: 19, Older sister: 24

• Younger sister: 21, Older sister: 26

• Younger sister: 18, Older sister: 23

• Younger sister: 20, Older sister: 25