HCF and Lcm of two numbers are 7 and 140.If the numbers are between 20 and 45, the numbers are:a.35,28b.20,49c.none of thesed.30,38
Question
HCF and Lcm of two numbers are 7 and 140.If the numbers are between 20 and 45, the numbers are:a.35,28b.20,49c.none of thesed.30,38
Solution
The correct answer is a. 35, 28.
Here's the step-by-step solution:
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The product of two numbers is equal to the product of their HCF and LCM. So, the numbers are the factors of 7 (HCF) * 140 (LCM) = 980.
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The factors of 980 that are between 20 and 45 are 35 and 28.
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Check: The HCF of 35 and 28 is 7, and the LCM of 35 and 28 is 140. So, the numbers are 35 and 28.
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