Question

5 yrs ago, Nuri was thrice as old as Sonu. 10 yrs later, Nuri will be twice as old Sonu. How old are Nuri n Sonu?

Answer 1

Let the present age of Nuri be x years and present age of sonu be y years.

According to given conditions,

5 years ago,

x - 5 = 3(y - 5)

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

10 year later,

x + 10 = 2(y + 10)

x - 2y = 10 ........ (Eqn 2)

On subtracting eqn 1 from 2,

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

-2y + 3y = 20

y = 20

On substituting y = 20 in eqn 2,

x = 2 × 20 + 10

x = 50

Hence present age of Nuri is 50 years and present age of Sonu is 20 years

Answer 2

Answer:

Step-by-step explanation:

Given :-

5 yrs ago, Nuri was thrice as old as Sonu.

10 yrs later, Nuri will be twice as old Sonu.

To Find :-

Both of them's ages

Solution :-

Let the present age of Nuri be = x                  

And  the present age of Sonu be = y                  

According to the Question,                  

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

⇒ x - 3y = - 10 ... (i)                  

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

⇒ x - 2y = 10 ... (ii)                  

Subtracting equation (i) from equation (ii), we get                  

⇒ y = 20 ... (iii)                  

Putting this value in equation (i), we get                  

⇒ x - 60 = - 10                  

⇒ x = 50                  

Hence, age of Nuri = 50 years and age of Sonu = 20 years.