Answer :
Answer:
• Diana: 59 years
,• Rona: 54 years
Explanation:
Let Diana's age = d
Rona is 5 years younger than Diana today, therefore:
• Rona's age = (d-5) years
The sum of their ages is 89.
[tex]d+(d-5)=89[/tex]First, solve for d.
[tex]\begin{gathered} 2d=89+5 \\ 2d=94 \\ d=94\div2 \\ d=47 \end{gathered}[/tex]• Diana's present age, d = 47 years
,• Rona's present age, d-5 = 42 years.
Finally, we calculate their ages in 12 years.
[tex]\begin{gathered} \text{Diana}=47+12=59\text{ years} \\ \text{Rona}=42+12=54\text{ years} \end{gathered}[/tex]In 12 years' time, Diana will be 59 years and Rona will be 54 years.