Question

five years ago Nuri was thrice as old as sum 10 years later no he will be twice as old as sum how old are nuri and sonu ​

Answer 1

$\large\underline{Given:-}$

• five year's ago Nuri was thrice as old as Sonu.
• 10 year's later Nuri will be twice as old as Sonu.

$\large\underline{To find:-}$

• Present ago of Nuri and Sonu.

$\large\underline{Solutions:-}$

• Let the present age of Nuri be x year.
• Let the present age of Sonu be y year.

✰ five year age Nuri was thrice as old Sonu.

Nuri Age ⇢(x - 5) year's

Sonu Age ⇢ (y - 5) year's

»★ According to 1st condition:

⟹ (x - 5) = 3(y - 5)

⟹ (x - 5) = 3y - 15

⟹ x - 3y = -10 ...........(1)

✰ 10 year later Nuri will be twice as old as Sonu.

• Nuri Age ⇢(x + 10) year's
• Sonu Age ⇢ (y + 10) year's

»★ According to 1st condition:

⟹ (x + 10) = 2(y + 10)

⟹ x + 10 = 2y + 20

⟹ x - 2y = 10 .........(2)

✰ from Eq (1) and Eq (2), we get.

x - 3y = - 10

x - 2y = 10

- + -

______________

-y = -20

✰ Putting the value of y in Eq. (1)

⟹ x - 3y = -10

⟹ x - 3 × 20 = -10

⟹ x - 60 = -10

⟹ x = -10 + 60

⟹ x = 50

Hence,

• Nuri Age is x = 50 year
• Sonu Age is y = 20 year

______________________________________

Answer 2

Answer:

Step-by-step explanation:

Let the present age of Nuri be x years.

Let the present age of Sonu be y years.

Case 1: 5 years ago:

Age of Nuri = x - 5 years

Age of Sonu = y - 5 years

It is given that 5 years ago, the age of Nuri was 3 times that of Sonu. Putting it in the form of an equation, we get:

x - 5 = 3(y - 5)

x - 3y = -10 (1)

Case 2: 10 years later:

Age of Nuri = x + 10 years

Age of Sonu = y + 10 years

It is given that 10 years later, the age of Nuri will be 2 times that of Sonu. Putting it in the form of an equation, we get:

x +10 = 2(y + 10)

x - 2y = 10 (2)

We need to solve equation (1) and (2) simultaneously:

(1) x - 3y = -10

(2) x - 2y = 10

Now, in (1), we have:

x = -10 + 3y

Substituting the value of x from (1) in (2), we get:

-10 + 3y -2y = 10

y = 20

y = 20

Putting this value of y in equation (1), we get:

x - 3(20) = -10

x = 50

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