We were given:
[tex]\begin{gathered} 74Dyani's age is not an even number. That means that:[tex]\begin{gathered} d=13\text{ or }15\text{ or }17 \\ \text{Dyani's age is the median} \\ \Rightarrow d=15 \\ \\ d=15 \end{gathered}[/tex]Dyani's age is halfway between Rachel & Shannon's:
[tex]\begin{gathered} d=\frac{r+s}{2} \\ 2d=c \\ 2(15)=r+s \\ 30=r+s \\ r+s=30 \\ \text{From the age set},\text{ the possible age of Rachel \& Shannon is 17 \& 13} \\ We\text{ were told that:} \\ sWe were given the inequality:[tex]\begin{gathered} sTherefore, the age of the girls are listed below:Shannon is 13 years old,
Mercedes is 14 years old
Dyani is 15 years old
Aisha is 16 years old
Rachel is 17 years old