Question

Five years ago, Anu was thrice as old as Sonu. Ten years later, Anu will be twice as old as Sonu.

How old are Anu and Sonu?

Answer 1

Answer:

50, 20

Step-by-step explanation:

Let the present age of Anu be x years and Sonu be y years.

Five years ago,

Anu's age = (x-5) years

Sonu's age = (y-5) years

(x-5) = 3(y-5)

x - 5 = 3y - 15

x - 3y = -15 + 5

x - 3y = -10 - eqn.1

After 10 years,

Anu's age = (x+10) years

Sonu's age = (y+10) years

(x+10) = 2(y+10)

x + 10 = 2y + 20

x - 2y = 20 - 10

x - 2y = 10 - eqn.2

Now, Subtracting eqn.1 from eqn2,

(x-2y) - (x-3y) = 10 - -(10)

x - 2y - x + 3y = 10 + 10 = 20

y = 20 years

So,

x = -10 + 3(20) (eqn.1)

x = -10 + 60

x = 50 years

Thus, the present ages of Anu and Sonu are 50 and 20 years respectively.