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Grow up Fast

Age 11 to 14 Short
Challenge Level

Answer: 59


Using the number of years that have passed
    Julie     Megan       Zoey    
  today     32     4     1  
  in $n$ years     32 + $n$     4 + $n$     1 + $n$  

32 + $n$ = 4 + $n$ + 1 + $n$
            = 5 + 2$n$
27 = $n$

In 27 years Julie will be 32 + 27 = 59


Using algebra and Julie's age
Julie's age is $J$

$32-4=28$ so Megan's age is $J-28$
$32-1=31$ so Zoey's age is $J-31$
$$\begin{align}(J-28)+(J-31)&=J\\
\Rightarrow 2J-59&=J\\
\Rightarrow J&=59\end{align}$$ So Julie will be $59$.


Using trial
  Julie     Megan      Zoey      M + Z    
  32     4     1      
  42     14     11     25     too small  
  52     24     21     45     too small
  62     34     31     65     too big  
  61     33     30     63     too big
  59     31     28     59     perfect  

Julie is 59


 

You can find more short problems, arranged by curriculum topic, in our short problems collection.