arithmetic - the proportion of the ages of pavani and khan is 2 5 after 8 years their ages will be in the proportion of 1 2 then what is the variance in their current ages - skillgun

Let Pavani’s age = 2A
and Khan’s age = 5A
(2A + 8)/(5A+8)= (1/2)
=> 2 (2A + 8) = 5A + 8
=> A = 8
Pavani’s age = 16 years
and Khan’s age = 40 years
Variance of their ages = 24 years.