Question

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

Answer 1

Anna is 8 years older than Bella. We calculated this by knowing Bella's current age, which is 11, and the sum of the ages of Anna, Bella, and the kitten, which is 30.

Step-by-step explanation:

Let's denote Bella's age today as B years and Anna's age as A years. We know that Bella was 6 years old 5 years ago, so today she is B = 6 + 5 = 11 years old. The kitten was a newborn when Bella was 6, so the kitten is also 11 years old today. Since the sum of their ages is 30, we can write the equation:

A + B + 11 = 30

Substituting the value of B (11) into the equation, we get:

A + 11 + 11 = 30

A + 22 = 30

A = 30 - 22 = 8

Anna is 8 years older than Bella.

Answer 2

Anna is 3 years older than Bella. Anna's age is found by subtracting the sum of Bella's and the kitten's ages from the total of 30 years and then comparing it to Bella's age.

Step-by-step explanation:

The question involves solving a problem to find how many years older Anna is than Bella. We are given that five years ago, Bella turned 6 years old and received a newborn kitten, and today the sum of their ages is 30 years.

First, we figure out Bella's current age. Since Bella was 6 years old five years ago, she is now 6 + 5 = 11 years old. The kitten, being a newborn five years back, is also 5 years old today.

Bella's current age is 11 years, and the kitten's age is 5 years. If we add both ages, we get 11 + 5 = 16. Since the sum of all three (Anna, Bella, and the kitten) is 30 years, we find Anna's age by subtracting the combined age of Bella and the kitten from 30. Therefore, Anna's age is 30 - 16 = 14 years old.

To find out how many years older Anna is than Bella, we subtract Bella's age from Anna's age. Anna is 14 years old, and Bella is 11 years old, so Anna is 14 - 11 = 3 years older than Bella.