12 years ago, the ratio of age of A and B was 2 : 3. If the ratio of their present age is 5 : 6, then what will be the total of their present age.

44 years

   A   :    B      

    2   :    3    ( 12  years ago )         

                 ↓   

    5   :     6  ( present )  

\(\frac{A}{B}\)  =\(\frac{2}{3}\)

 let age of  A = 2x and age of B = 3x 

Now , according to question 

\(\frac{2x+12}{3x+12}\) = \(\frac{5}{6}\)

12x  + 72 = 15x + 60

 3x = 12

X = 4 

so,       

A's Present age = 2 x 4 +12 = 20 years 

B's Present age = 3 x 4 +12 = 24 years   

 total of their present age = 20 + 24 = 44 years