Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
Option 1: 65 and 85
Option 2: 55 and 85
Option 3: 65 and 75
Option 4: 60 and 80

Question

Question : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
Option 1: 46 and 230
Option 2: 48 and 240
Option 3: 64 and 320
Option 4: 56 and 280

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Answer 1

Correct Answer: 65 and 85

Solution : LCM = 1105
HCF = 5
Let the first number be $x$ and the second number be $y$ .
$17 x = 1105$
$\Rightarrow x = \frac{1105}{17} = 65$
We know, LCM × HCF = $x \times y$
$\Rightarrow 1105 \times 5 = 65 \times y$
$∴ y = \frac{1105 \times 5}{65} = 85$
Hence, the correct answer is 65 and 85.

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Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.Option 1: 65 and 85Option 2: 55 and 85Option 3: 65 and 75Option 4: 60 and 80

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Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
Option 1: 65 and 85
Option 2: 55 and 85
Option 3: 65 and 75
Option 4: 60 and 80