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