Question

ram is three time as old as rahim five year later ram will be two and half times as old as rahim . how old are ram and rahim

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.



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Answer 2

Hey

Here is your answer,

Let the present age of Ram be x and Rahim be y.

Then, x = 3y
Given, x + 5 = 2½times (y+5)

Putting the value of x in the second equation,
we get,
3y + 5 = 5/2 × (y + 5)
3y + 5 = 5/2 + 25/2
3y - 5/2 = 25/2 - 5
1/2y = 15/2
SO, y = 15/2 × 2
y = 15

Putting this value in the first equation,
we get,
x = 3y
x = 3 × 15
x = 45.

Hence, age of Ram is 45 and Rahim is 15

Hope it helps you!