43 Views

Question : Six years ago, the ratio of ages of A to B was 7 : 5. 4 years from now, the ratio of their ages will be 11 : 9. What is A’s age at present?

Option 1: $24 \frac{1}{2}$ years

Option 2: $22 \frac{1}{2}$ years

Option 3: $23 \frac{1}{2}$ years

Option 4: $21 \frac{1}{2}$ years


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: $23 \frac{1}{2}$ years


Solution : Six years ago, the ratio of ages of A to B was 7 : 5.
Six years ago the ages of A and B were $7x$ and $5x$ respectively.
4 years from now, the ratio of their ages will be 11 : 9.
So, according to the question,
$\frac{7x+10}{5x+10}=\frac{11}{9}$
$⇒ 63x+90=55x+110$
$⇒8x=20$
$\therefore x = 2.5$
So A's present age = $7×2.5+6=23.5=23\frac{1}{2}$ years
Hence, the correct answer is $23\frac{1}{2}$ years.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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