Question

five yrs ago, the Amit was three times as old as Armaan. Ten yrs later Amit would be twice as old as Armaan. How old are they now . SOLVE IN ONE VARIABLE

Answer 1

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Answer 2

Hii friend,

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

Five years ago age of Amit = (X-5) years.

Five years ago 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,

Ten years later age of Amit = (X+10)

Ten years later 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

Y = 20 years.

Putting the value of Y in equation (3)

X = -10+3Y

X = -10+3 × 20 = -10+60 =50

Therefore,

Age of Amit = X = 50 years

And,

Age of Arman = Y = 20 years.

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