CTET 2 Math and Science 07 Jul 2024 Paper

Arun is three years older than Varun
Eight years ago ‌

5

6

th of Arun's age exceeded ‌

3

5

th of Varun's age by 6 years.
The present age of Varun x years
Calculation:
Since Arun is 3 years older than Varun:
The present age of Arun x+3
Eight years ago:
Arun's age was (x+3)−8=x−5 years
Varun's age was x−8 years
According to the problem, Eight years ago ‌

5

6

th of Arun's age exceeded ‌

3

5

th of Varun's age by 6 years.
⇒‌

5

6

×(x−5)−‌

3

5

×(x−8)=6
This matches the third option.
∴ The correct answer is Option (3): ‌

5

6

×(x−5)−‌

3

5

×(x−8)=6