Question

five 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

Amit-2(5x+5+10)
Armaan-x+5+0
This time Amit will be 5x+5
Armaan will be x+5

Answer 2

Hiii friend,

Let the age of Amit and Arman be X and Y year's.

Before five years age of Amit = (X-5) years.

Before five years age of Arman = (Y-5) years

According to question,

(X-5) = 3(Y-5)

X -5 = 3Y -15

X-3Y = -15+5

X-3Y = -10.......(1)

Again,

After 10 years age of Amit = (X+10) years

After 10 years age of Arman = (Y+10) years

According to question,

(X+10) = 2(Y+10)

X+10 = 2Y +20

X -2Y = 20-10

X -2Y = 10........(2)

From equation (1) we get,

X -3Y = -10

X = -10+3Y........(3)

Putting the value of X in equation (2)

X -2Y = 10

-10 + 3Y -2Y = 10

Y -10 = 10

Y = 10+10 => 20 years.

Putting the value of Y in equation (3)

X = -10 + 3Y => -10 + 3 × 20 = 60-10 = 50 years.

Hence,

Age of Amit = X = 50 years

and,

Age of Arman = Y = 20 years.

HOPE IT WILL HELP YOU..... :-)