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What will be the ages of Rona and Diana in 12 years if rona is 5 years younger than Diana today. The sum of their ages is 89?

Sagot :

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.