5 Views

Question : Two numbers are in the ratio of 4 : 3. The product of their HCF and LCM is 2700. The difference between the numbers is:

Option 1: 15

Option 2: 30

Option 3: 25

Option 4: 105


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 15


Solution : Ratio of Two numbers = 4 : 3
HCF × LCM = 2700
Product of two numbers = Product of their HCF and LCM
Let the numbers be $4x$ and $3x$ respectively
⇒ $x × 12x = 2700$
⇒ $12x^2 = 2700$
⇒ $x^2 = 225$
⇒ $x = 15$
Difference between the numbers is $=4x - 3x = x = 15$
Hence, the correct answer is 15.

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
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
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