Math Gold Medalist

Lor

2022 AMC 8 

Problem 5 

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?

$\textbf{(A) } 1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 3 \qquad \textbf{(D) } 4 \qquad \textbf{(E) } ~5$

Translating Word Problems Into Equations

Suppose today ages of Bella and Anna are B and A respectively

B – 5 = 6

A + B + (6+5) = 30

A – B = ?


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   Solution