35 Views

Question : The ratio of the ages of the father and the mother was 11 : 10 when their son was born. The ratio of ages of the father and the mother will be 19 : 18 when the son will be twice his present age. What is the ratio of the present ages of the father and the mother?

Option 1: 15 : 14

Option 2: 14 : 13

Option 3: 16 : 15

Option 4: 17 : 16


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 15 : 14


Solution : Given:
The ratio of ages of the father and the mother when their son is born = 11 : 10.
Let the father and the mother's ages be 11k and 10k, respectively, when their son is born.
And the ratio of their ages will be 19 : 18 when the son is twice his present age.
Let the present age of the son be $x$ years.
Twice that age is $2x$ years.
The father and the mother's present ages become 11k + x and 10k + x, respectively.
According to the given information,
⇒ $\frac{11k+2x}{10k+2x}=\frac{19}{18}$
⇒ $18(11k+2x)=19(10k+2x)$
⇒ $198k+36x=190k+38x$
⇒ $8k=2x$
⇒ $x=4k$
Now,
The ratio of the present ages of the father and the mother will be
⇒ $\frac{11k+x}{10k+x}=\frac{11k+4k}{10k+4k}$ = $\frac{15}{14}$
So, the required ratio is = 15 : 14
Hence, the correct answer is 15 : 14.

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