Question

the age of Jane is 80% of the age of Alice. If we add both ages the result is 45. Find the age of Jane and Alice

Answer 1

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=$\frac{80}{100}\times x=\frac{4x}{5}$

$x+\frac{4x}{5}=45$

$\frac{5x+4x}{5}=45$

$\frac{9x}{5}=45$

$x=\frac{45\times 5}{9}=25$

Age of Alice=25 years

Age of Jane=$\frac{4}{5}\times 25=20 years$

Age of Jane=20 years