The ratio of ages of A and B, four years ago, was $$7 : 5$$. The ratio of their ages, 6 years from now, will be $$19 : 15$$. What is the ratio of the present ages of A and B?

Let the ages of A and B four years ago are 7p and 5p respectively

                                   A                               B                           

4 years ago             7p                              5p

Present age           7p+4                          5p+4         

after 6 years         7p+10                        5p+10

Given ratio of their ages after 6 years = 19:15

$$=$$>       $$\ \frac{\ 7p+10}{5p+10}=\ \frac{\ 19}{15}$$

   $$105p+150=95p+190$$

                   $$10p=40$$

                       $$p=4$$

Ratio of present ages of A and B = 7p+4 : 5p+4

                                                          = 32 : 24          

                                                            = 4 : 3