Auntie's age

This task is about using algebraic expressions to find out people's ages.
Ana is 13 and Lachlan is 11 years old. They were trying to guess their aunt's age.
Aunt Kirsty

Question 1Change answer

Their aunt said,
speech bubble saying: If you double your age, Ana, and add Lachlan’s age; I’m still older than that.
 
a)  Their aunt must be more than how many years old?  

Question 1Change answer

Their aunt then said,
speech bubble saying: If you double your age, Ana, and add Lachlan’s age; I’m still older than that.
 
b)  Their aunt must be less than how many years old?  

Question

c)  Which expression will give you Lachlan's age if Ana's age is x ?

    • x + 2

    • x – 2

    • 2x

    • x/2

Question 1Change answer

Finally their aunt said,
speech bubble saying: If you double your age, Ana, and add Lachlan’s age; I’m still older than that.
 
d)  i)  In how many years will this be?  
 
     ii)  What must their aunt's age be now?  
Published on Assessment Resource Banks (https://arbs.nzcer.org.nz)