18 Views

Question : Directions: The present ages of Vikas and Sujit are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Sujit's present age in years?

Option 1: 6

Option 2: 24

Option 3: 18

Option 4: 27


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

Correct Answer: 24


Solution : Given:
The present ages of Vikas and Sujit are in the ratio of 5 : 4
⇒ Present age of Vikas = 5 × A
⇒ Present age of Sujit = 4 × A
Age of Vikas after 3 years = (5 × A) + 3
Age of Sujit after 3 years = (4 × A) + 3
The ratio of their ages after 3 years is 11 : 9
⇒ $\frac{(5\times A)\:+\: 3}{(4\times A)\:+\: 3}=\frac{11}{9}$
⇒ 9 × ((5 × A) + 3) = 11 × ((4 × A) + 3)
⇒ (45 × A) + 27 = (44 × A) + 33
⇒ A = 6 years
Therefore, Sujit's present age = 4 × A = 4 × 6 = 24 years.

Hence, the second option is correct. 

Know More About

Related Questions

Amity Online MBA
Apply
Apply for an Online MBA from Amity Online.
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Upcoming Exams

Preliminary Admit Card Date: 25 Jul, 2025 - 5 Aug, 2025
Tier I Exam Date: 13 Aug, 2025 - 30 Aug, 2025
Application Date: 26 Jul, 2025 - 17 Aug, 2025

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books