HCF and Lcm of two numbers are 7 and 140.If the numbers are between 20 and 45, the numbers are:a.20,49b.35,28c.30,38d.none of these
Question
HCF and LCM of two numbers are 7 and 140.
If the numbers are between 20 and 45, the numbers are:
- a. 20, 49
- b. 35, 28
- c. 30, 38
- d. none of these
Solution
The answer is b. 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 we are looking for, let's call them a and b, should satisfy the equation a*b = HCF * LCM = 7 * 140 = 980.
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Now we need to find two numbers between 20 and 45 that multiply to 980.
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If we check the options given, we can see that only 35 and 28 satisfy this condition because 35 * 28 = 980.
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Therefore, the numbers are 35 and 28.
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