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
Answer (1)
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 =
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 =
So, the other number is 1100.
Hence, the correct answer is 1100.
Comments (0)
Related Questions
Know More about
Upcoming Exams
Application Date:
5 Mar, 2025
- 25 Mar, 2025
Application Date:
19 Feb, 2025
- 11 Mar, 2025
Exam Date:
4 May, 2025
- 4 May, 2025
Preliminary Exam
Exam Date:
25 May, 2025
- 25 May, 2025
