The ratio of the age of Ram and Mukesh 10 years ago was 1 : 3.  The ratio of their age five years hence will be 2 : 3, then the ratio of their present age is?

3 : 5

Ratio of age 10 years ago:

   Ram      Mukesh

     x     :     3x

ATQ,

⇒ \(\frac{x + 15}{3x + 15}\) = \(\frac{2}{3}\)

⇒ 3x + 45 = 6x + 30

⇒ 15 = 3x

⇒ x = 5

Now,

   Ram      Mukesh

     5     :     15     ←     (age 10 years ago)

   +10        +10   

    15           25            (present age)

     3     :     5