The LCM and HCF of two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 65 and 85.
Given that
The LCM and HCF of two numbers are 1105 and 5
LCM = 17 × First number
We know that,
H.C.F × L.C.M = first number × second number
Calculation
5 × (17 × First number) = first number × second number
Second number = 85
LCM = 17 × First number
First number = 1105/17 = 65
Hence, the required numbers are 65 and 85