Question

Five years ago,nuri was thrice as old as sonu.Ten years later,nuri will be twice old as sonu . How old are nuri and sonu?​

Answer 1

Step-by-step explanation:

If Sonu is 5 year old then Nuri is 15.

After 10 year Sonu will be 15 and Sonu will be 30

Answer 2

Given :-

• Five years ago,Nuri was thrice as old as Sonu.

• Ten years later,nuri will be twice old as sonu.

To Find :-

• How old are nuri and sonu?

Solution :-

Let the present age of Nuri be x years.

And the present age of Sonu be y years.

According to the question :-

Given that,

Five years ago,Nuri was thrice as old as Sonu.

Ten years later,nuri will be twice old as sonu.

Therefore,

five years ago,

Nuri's age = (x -5) years

Sonu's age = (y-5) years

Ten years later,

Nuri's age = (x +10) years

Sonu's age = ( y +10) years

As per question :-

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

⟼ x -5 = 3y -15

⟼ x - 3y = -10...,.....eq(1)

Again,

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

⟼ x +10 = 2y +20

⟼ x -2y = 10............eq(2)

Subtracting eq(1) from eq(2), we get

x - 3y = -10

x -2y = 10

_________

y = 20

Now, put the value of y in eq(2)

x - 2 y = 10

⟼ x - 2 × 20 = 10

$⟼x = 50$

Hence, the age of Nuri is = 50 years

The age of Sonu is = 20 years