5 Views

Question : In three positive numbers, the ratio of first and second is 3 : 4 and the ratio of second and third is 3 : 5. The product of first and third is 4500. What is the sum of the three numbers?

Option 1: 282

Option 2: 235

Option 3: 198

Option 4: 205


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 205


Solution : The ratio of first and second = 3 : 4 = 9 : 12
The ratio of second and third = 3 : 5 = 12 : 20
The ratio of three numbers = 9: 12 : 20
Let the numbers be $9x$, $12x$, and $20x$.
Product of first and third = 4500
⇒ $9x×20x = 4500$
⇒ $x^2 = \frac{4500}{180}$ = 25
⇒ $x = 5$
The sum of the three numbers
$=9x+12x+20x$
$= 41x$
$= 41 × 5$
$= 205$
Hence, the correct answer is 205.

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