Question : The ratio of the ages of two boys is 5 : 6. After two years, the ratio will be 7 : 8. Determine the ratio of their ages after 12 years.
Option 1: $\frac{22}{24}$
Option 2: $\frac{15}{16}$
Option 3: $\frac{17}{18}$
Option 4: $\frac{11}{12}$
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $\frac{17}{18}$
Solution :
Given: The ratio of the age of two boys is 5 : 6.
After two years, the ratio will be 7 : 8.
Let the age of two boys be $5x$ years and $6x$ years respectively.
As per conditions, we have:
$\frac{5x+2}{6x+2}=\frac{7}{8}$
⇒ $40x+16=42x+14$
⇒ $2x=2$
⇒ $x=1$
Required ratio after 12 years,
= $(5x+12):(6x+12)$
= (5 + 12) : (6 + 12)
= 17 : 18
Hence, the correct answer is $\frac{17}{18}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CHSL
