13 Views

Question : The LCM of the two numbers is 44 times their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is:

Option 1: 1100

Option 2: 975

Option 3: 900

Option 4: 800


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 1100


Solution : Let the HCF = X
So, the LCM = 44X
Given:
HCF + LCM = 1125
or, X + 44X = 1125
or, 45X = 1125
or, X = $\frac{1125}{45}$ = 25
So, HCF is 25.
LCM is 44X = 44 × 25 = 1100
Given one number is 25.
Let the other number be Y.
1st number × 2nd number = LCM × HCF
⇒ 25 × Y = 1100 × 25
⇒ Y = $\frac{1100 × 25}{25}$ = 1100
So, the other number is 1100.
Hence, the correct answer is 1100.

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