Question

The ratio of the ages of ramu and gopi three years ago was 4 : 3 and two years later it will be 5 : 4. the sum of their present ages is

Answer 1

Let Present age of ramu  = 4x years

      Present age of gopi = 3x years




Age of ramu after 2 years = (4x + 2) years


Age of gopi after 2 years = (3x + 2) years




ATQ,

(4x + 2) : (3x + 2) = 5 : 4 

4(4x + 2) = 5(3x + 2)

16x + 8 = 15x + 10 

16x - 15x = 10 - 8 

x = 2 





Hence, age of ramu = 4x = 4(2) = 8 years
           
age of gopi = 3x = 3(2) = 6 years




Sum of present age = 8 + 6 
                                   = 14 years