Question

5 years from now his uncle was 3 times as old as Arman . 10 years from now his uncle will be twice as old as Arman. What are their present age

Answer 1

Let the present age of Armaan be x

therefore according to the first condition

5 years from now armaans age will be x+5

therefore uncle's age = 3(x+5)

=3x+15

according to the second condition

after ten yrs armaans age=x+10

therefore uncle's age= 2(x+10)

=2x+20

there fore from above

3x+15=2x+20

3x-2x=20-15

x=5

therefore armaans age is.5yrs

and

uncle's age = 2x+20=10+20=30yrs

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Answer 2

$<b><u>$ 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.