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

Age of Alice = 25, Age of Jane = 20.

Step-by-step explanation:

Let age of Alice = x

Then age of Jane is 80% of the age of Alice

=> Age of Jane = 80% of x = 80/100 * x = 0.8x

Adding the two ages gives 45.

The two ages are x and 0.8x.

The sum of the two ages is x + 0.8 x = (1+0.8) x = 1.8x.

=> 1.8 x = 45

Dividing both sides by 1.8, x = 45/1.8

=> x = 25

But x represents the age of Alice.

So age of Alice is 25.

Age of Jane = 0.8 * 25 = 20

Verification: Adding the two ages gives 45.