2022 AMC 8

Complete problem set with solutions and individual problem pages

Problem 5 Easy

Anna and Bella are celebrating their birthdays together. Five years ago, when Bella turned 6 years old, she received a newborn kitten as a birthday present. Today the sum of the ages of the two children and the kitten is 30 years. How many years older than Bella is Anna?

  • A.

    1

  • B.

    2

  • C.

    3

  • D.

    4

  • E.

    5

Answer:C

Five years ago, Bella was 6 years old, and the kitten was 0 years old.

Today, Bella is 11 years old, and the kitten is 5 years old. It follows that Anna is 30-11-5=14 years old.

Therefore, Anna is 14-11=\boxed{\textbf{(C) } 3} years older than Bella.