Answer:
Age of Alice=25 years
Age of Jane=20 years
Step-by-step explanation:
We are given that the age of Jane is 80 % of the age Alice.
We have to find the age of Jane and Alice.
Let x be the age of Alice
According to question
Age of Jane=80% of Alice=80% of x=[tex]\frac{80}{100}\times x=\frac{4x}{5}[/tex]
[tex]x+\frac{4x}{5}=45[/tex]
[tex]\frac{5x+4x}{5}=45[/tex]
[tex]\frac{9x}{5}=45[/tex]
[tex]x=\frac{45\times 5}{9}=25[/tex]
Age of Alice=25 years
Age of Jane=[tex]\frac{4}{5}\times 25=20 years[/tex]
Age of Jane=20 years
