arithmetic - the sum of the ages of nagesh prakash and sameer is 93 years 10 years ago the ratio of their ages was 2 3 4 what is the present age of prakash - skillgun

Solution: Let the ages of the given three persons be x, y and z.
Then, x+y+z=93. ten years ago (x-10) : (y-10) : (z-10) = 2 : 3 : 4.
Let 10 years back ages be 2a, 3a, 4a.
then (x-10)+(y-10)+(z-10) = 93-30= 63. 2a+3a+4a =63 => a = 63/9 = 7.
Hence ten years ago age of Prakash is 3a = 3*7 =21
hence present age = 21+10 =31 years.