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

Age of Alice=25 years

Age of Jane=20 years

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=
`(80)/(100)* x=(4x)/(5)`

`x+(4x)/(5)=45`

`(5x+4x)/(5)=45`

`(9x)/(5)=45`

`x=(45* 5)/(9)=25`

Age of Alice=25 years

Age of Jane=
`(4)/(5)* 25=20 years`

Age of Jane=20 years