Скачать или смотреть The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and on 125

The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and on 125, then other number is—

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In this math problem, we're given the HCF (Highest Common Factor) and LCM (Lowest Common Multiple) of two numbers as 11 and 385 respectively. The challenge is to find the other number if one number lies between 75 and 125. Let's dive into the solution and find the answer. This video is perfect for students who are struggling with HCF and LCM problems and want to learn how to solve them easily. We'll break down the problem step-by-step and provide a clear explanation of the concept. Watch till the end to find out the other number!

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Did you know that the highest common factor, or HCF, and the least common multiple, or LCM, of two numbers can give us valuable clues about those numbers?
In today's challenge, we have an HCF of 11 and an LCM of 385. One of these numbers lies between 75 and 125. So, how do we find the other number?
Let's start by using the relationship between HCF and LCM. The product of the two numbers equals the product of their HCF and LCM. This means:
Number one multiplied by number two equals 11 times 385. That gives us 4235.
Now, let's denote the number lying between 75 and 125 as "x." The other number, which we want to find, will be "y." So, we have:
x multiplied by y equals 4235. Rearranging gives us y equals 4235 divided by x.
Next, we need to test integer values for x, between 75 and 125, that are also multiples of 11 since 11 is the HCF.
The multiples of 11 in this range are 77, 88, 99, 110, and 121. Plugging these values into our equation, we find:
For x equals 77, y equals approximately 55. For x equals 88, y equals approximately 48. For x equals 99, y equals approximately 43. For x equals 110, y equals approximately 38. And for x equals 121, y equals approximately 35.
The only valid pair that meets our criteria is when x is 110, which gives us y as 38.
So, if one number lies between 75 and 125, the other number is 38.
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