Two years ago, Aadhya was three times as old as his son and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.
38 years
36 years
34 years
42 years
A.
38 years
Let the present age of Adhya's son = x + 2
and the present age of Adhya = 3x + 2
According to question,
2(3x + 4) = 5(x + 4)
6x + 8 = 5x + 20
x = 12 years
therefore, present age of Adhya = 3 x 12 + 2
=38 years