Question

5 years ago, amit was three times as old as armaan. ten years later amit would be twice as old as armaan. how old are they now ​

Answer 1

Answer:

Let the present age of Amit be x.

Let the present age of Armaan be y.

Given that 5 years ago Amit was three times as old as armaan.

x - 5 = 3 * (y - 5)

x - 5 = 3y - 15  

x = 3y - 10 ------ (1)

Given that ten years later Amit would be twice as old as Armaan.

x + 10 = 2(y + 10)

x + 10 = 2y + 20

x = 2y + 10  ---- (2)

On solving (1) and (2), we get

3y - 10 = 2y + 10

3y = 2y + 20

3y - 2y = 20

y = 20  ---- (3)

Substitute (3) in (1), we get

x = 3y - 10

  = 3(20) - 10

  = 50.

Therefore the present age of Amit is 50.

                 the present age of armaan is 20.

Hope this helps!