Question : The difference between the two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?
Option 1: 3 : 5
Option 2: 3 : 2
Option 3: 4 : 5
Option 4: 5 : 8
Correct Answer: 3 : 2
Solution :
Let the numbers be $a$ and $b$.
Given: $a-b=24$............(equation 1)
$a+b=120$............(equation 2)
Adding equation 1 and 2, we get:
$2a=144$
⇒ $a=72$
Putting the value of $a$ in equation 2, we get:
$72+b=120$
⇒ $b=48$
$\therefore a:b=72:48$
$=3:2$
Hence, the correct answer is 3 : 2.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates BrochureYour Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.