Question

Ram is 3 times as old as Rahim five years later ram will be two and a half times as old as Rahim how old are ram and Rahim now?

Answer 1

Let the present age of Ram be x and of Rahim be y.
Then,
x = 3y                                                      given
x+5 = 2 and a half times (y+5)                 given 
putting the value of x in the second equation, we get 
3y +5 = 5/2 multiplied by (y+5)
3y +5 = 5/2 y + 25/2
3y - 5/2 y = 25/2 - 5
1/2 y = 15/2 
so, y = 15/2 multiplied by 2 
so, y = 15 
putting this value in first equation, 
x = 3y , we get 
x = 3*15 = 45 

so Ram is 45 and Rahim is 15 years old.