Question

(1) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as
old as Sonu. How old are Nuri and Sonu?​

Answer 1

Answer:

Please refer to the attachment dear

Answer 2

✬ Nuri's age = 50 years ✬

✬ Sonu's age = 20 years ✬

Step-by-step explanation:

Given:

• Five years ago , Nuri was thrice as old as Sonu.
• After ten years, Nuri will be twice as old as Sonu.

To Find:

• How old are Nuri and Sonu ?

Solution: Let Nuri's and Sonu's present ages be x & y years respectively.

➭ Case 1st ( Five years ago)

• Nuri's age = (x – 5) years.
• Sonu's age = (y – 5) years.

A/q, 5 years ago Nuri was thrice as old as Sonu.

$\implies{\rm }$ (x – 5) = 3(y – 5)

$\implies{\rm }$ x – 5 = 3y – 15

$\implies{\rm }$ x = 3y – 15 + 5

$\implies{\rm }$ x = 3y – 10.....(1)

➭ Case 2nd ( Ten years later )

• Nuri's age = (x + 10) years.
• Sonu's age = (y + 10) years.

A/q, 10 years later Nuri will twice as old as Sonu.

$\implies{\rm }$ (x + 10) = 2(y + 10)

$\implies{\rm }$ x + 10 = 2y + 20

$\implies{\rm }$ x = 2y + 20 – 10

$\implies{\rm }$ x = 2y + 10.......(2)

★ Put value of x in equation 2 from 1 ★

➙ 3y – 10 = 2y + 10

➙ 3y – 2y = 10 + 10

➙ y = 20 years

Hence, Age of Sonu is y = 20 years.

★ Put the value of y in equation 1 ★

➙ x = 3y – 10

➙ x = 3(20) – 10

➙ x = 50 years

Hence, Age of Nuri is x = 50 years.