Answer: 5 years
Step-by-step explanation:
Given
Linda is [tex]3\ \frac{1}{3}\ yr[/tex] younger than Rose
Johan is [tex]8\ \frac{1}{3}\ yr[/tex] older than Linda
Suppose the age of Rose is [tex]x[/tex]
So, Linda's age
[tex]x-\dfrac{3\times3+1}{3}=x-\dfrac{10}{3}[/tex]
Johan's age
[tex]x-\dfrac{10}{3}+\dfrac{8\times3+1}{3}=x+\dfrac{-10+25}{3}\\\\x+\dfrac{15}{3}=x+5[/tex]
Difference between the Rose's and Johan's age is
[tex]\Rightarrow x+5-x=5\ yr[/tex]
