Question
Download Solution PDFThe HCF and LCM of 2 positive numbers are 4 and 80 respectively. If one of the numbers is 4 more than the other, find the smaller number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
HCF of two numbers = 4
LCM of two numbers = 80
One of the numbers is 4 more than the other
Formula used:
Product of two numbers = HCF × LCM
Calculation:
Let the smaller number be 4k
Then, the larger number = (4k + 4)
Now, the Product of two numbers = HCF × LCM
⇒ 4k(4k + 4) = 4 × 80
⇒ k(k + 1) = 20
k = 4 and it satisfy the equation.
Smaller number = 4k
⇒ 4(4) ⇒ 16
∴ The answer is 16.
Last updated on Jul 9, 2025
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