9 Views

Question : The present ages of A and B are in the ratio 5 : 6, respectively. After seven years this ratio becomes 6 : 7, then the present age of A in years is:

Option 1: 35 years

Option 2: 32 years

Option 3: 33 years

Option 4: 30 years


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 35 years


Solution : Given: The present ages of A and B are in the ratio of 5 : 6, respectively.
After seven years, this ratio becomes 6 : 7.
Let the present ages of A and B be $5x$ and $6x$.
After 7 years, the ages of A and B will be $5x+7$ and $6x+7$, respectively.
So, $\frac{5x+7}{6x+7} = \frac{6}{7}$
⇒ $35x+49 = 36x+42$
$\therefore x=7$
So, the present age of A = 5 × 7 = 35 years
Hence, the correct answer is 35 years.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

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