Question : Of three positive numbers, the ratio of 1st and 2nd is 8 : 9, and that of 2nd and 3rd is 3 : 4. The product of 1st and 3rd is 2400. The sum of the three numbers is:
Option 1: $45$
Option 2: $85$
Option 3: $95$
Option 4: $55$
Correct Answer: $45$
Solution :
Let the first and the second numbers be $8x$ and $9x$.
Given, Second Number : Third Number = $3 : 4$
$\frac{9x}{\text{Third number}} = \frac{3}{4}$
So, the third number = $12x$
The product of the first and third numbers is 2400.
$8x×12x = 2400$
or, $x^2 = 25$
or, $x = 5$
Second number = $9x = 9 × 5 = 45$
Hence, the correct answer is $45$.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC MTS
