The LCM and HCF of two numbers are 144 and 8 respectively. If one of the numbers is 16, find the other number.
The LCM and HCF of two numbers are 144 and 8 respectively. If one of the numbers is 16, find the other number.
दो संख्यओं का LCM और HCF क्रमश: 144 और 8 हैं। यदि उनमें से एक संख्या 16 है, तो दूसरी संख्या ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
72
Solution:
We use the relation:
$ \text{LCM} \times \text{HCF} = \text{Product of two numbers} $
Given:
LCM = 144, HCF = 8, one number = 16
So,
$ 144 \times 8 = 16 \times \text{other number} $
$ 1152 = 16 \times x $
$ x = \frac{1152}{16} = 72 $
✅ Final Answer: 72
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