HCF and LCM of two numbers are 2 and 132 respectively. If one of the number is 22, what is the other number?

Question

HCF and LCM of two numbers are 2 and 132 respectively.

If one of the number is 22, what is the other number?

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Solution

Sure, here is the step by step solution:

Step 1: We know that the product of two numbers is equal to the product of their HCF and LCM.

So, let's denote the two numbers as a and b, their HCF as h and their LCM as l. We have:

a * b = h * l

Step 2: We know that one of the numbers (a) is 22, the HCF (h) is 2 and the LCM (l) is 132. Substituting these values into the equation from step 1, we get:

22 * b = 2 * 132

Step 3: Simplify the right side of the equation:

22 * b = 264

Step 4: Solve for b:

b = 264 / 22

b = 12

So, the other number is 12.

This problem has been solved

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HCF and LCM of two numbers are 2 and 132 respectively. If one of the number is 22, what is the other number?

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