Question
The HCF and LCM of two natural numbers are 14 and 84,
respectively. What is the difference between the two numbers, if one of the numbers is 28?Solution
Given:
- HCF = 14
- LCM = 84
- First number = 28
Using the formula:
HCF × LCM = First number × Second number
14 × 84 = 28 × Second number
1176 = 28 × Second number
Second number = 1176 / 28 = 42
Difference between two numbers: 42 - 28 = 14
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