he LCM of two numbers is 4 times their HCF. The sum of the LCM and HCF is 125. If one of the numbers is 100, what is the other number?
he LCM of two numbers is 4 times their HCF. The sum of the LCM and HCF is 125. If one of the numbers is 100, what is the other number?
दो संख्याओं का ल०स० उनके म०स० का 4 गुना है। ल०स० और म०स० का योग 125 है। यदि संख्याओं में से एक 100 है, तो दूसरी संख्या क्या है
Detailed Solution & Logic
Correct Answer:
25
Let HCF = $x$
Then LCM = $4x$
Given:
$x + 4x = 125$
$5x = 125 \Rightarrow x = 25$
So, HCF = 25 and LCM = $4 \times 25 = 100$
Use relation:
Product of numbers = HCF × LCM
$100 \times \text{other number} = 25 \times 100$
Other number = $\frac{2500}{100} = 25$
✅ Final Answer: 25
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