The HCF and the LCM of two numbers are 14 and 196, respectively. If one of the numbers is 98, find the other one.
The HCF and the LCM of two numbers are 14 and 196, respectively. If one of the numbers is 98, find the other one.
दो संख्याओं का म. स. प. (HCF) और ल. स. प.(LCM) क्रमशः 14 और 196 है। यदि उनमें से एक संख्या 98 है, तो दूसरी संख्या ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
28
Solution:
We use the formula:
HCF × LCM = Product of the two numbers
Given:
HCF = 14, LCM = 196, one number = 98, other number = $x$
So,
$14 \times 196 = 98 \times x$
$2744 = 98x$
$x = \frac{2744}{98}$
x = 28
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