Ex 3.3 Q2 (ii) - 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?

Solution:-

Let,

Present age of Nuri = 'x' years

Present age of Sonu = 'y' years

Case (i): Five years ago,

*Age of Nuri = (x - 5) years

*Age of Sonu = (y - 5) years

➙ Given that, Nuri was thrice as old as Sonu before five years,

∴ x - 5 = 3(y - 5)

∴ x - 5 = 3y - 15

∴ x = 3y - 15 + 5

∴ x = 3y - 10 ------- (i)

Case (ii): Ten years later,

*Age of Nuri = (x + 10) years

*Age of Sonu = (y + 10) years

➙ Given that, Nuri will be twice as old as Sonu after ten years,

∴ x + 10 = 2(y +10)

∴ x + 10 = 2y + 20

∴ 3y - 10 + 10 = 2y + 20 ---- { from (i) }

∴ 3y - 2y = 20

∴ y = 20

➙ Putting y = 20 in Eqⁿ(i)

∴ x = 3(20) - 10

∴ x = 60 - 10

∴ x = 50

Therefore,

*Present age of Nuri

= x

= 50 years

*Present age of Sonu

= y

= 20 years

Hence,

The present age of Nuri and Sonu is 50 years and 20 years respectively.

------------------------------------

Try This..

✒ The age of a father is twice that of his son. Five years ago, the father's age was three times the son’s age. Find their present ages.

✒ The sum of the ages of two friends is 40 years. After 5 years, the sum of their ages will be 50. Find their present ages.

✒ Ten years ago, A was half of B’s age. After ten years, A will be 3/4th of B’s age. Find their present ages.

❌ Common Mistakes

Wrong variable assignment:
▸ Always let variables represent the current age, not past/future age.

Sign errors:
▸ While simplifying equations, Be cautious while subtracting!

Forgetting to verify:
▸ Always plug the values back into the original conditions to be sure.

>>> Tip: Draw a timeline if you get confused with “years ago” or “years later”!

📝 Related Questions:-

Queries Solved:-

Class 10 Ex 3.3

Ex 3.3 Q2 ii Class 10

Class 10 Ex 3.3 Q2 ii

Class 10 Chap 3 Ex 3.3 Q2 ii

Class 10 Pair Of Linear Equations in Two Variables

If you found it helpful, please leave a comment below sharing your thoughts or questions.

Don’t forget to share it with your classmates to help them learn too.

Good luck, and happy learning!

Together, let’s make math simpler and more enjoyable for everyone!

Ex 3.3 Q2 (ii) - 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?

Ex 3.3 Q2 (ii) - 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?

Try This..

❌ Common Mistakes

📝 Related Questions:-

Contact Form