LCM and HCF of two numbers are 120 and 4.If one of the number is 40 ,what will be the second number?
Question
LCM and HCF of two numbers are 120 and 4.If one of the number is 40 ,what will be the second number?
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 LCM and HCF.
So, let's denote the two numbers as a and b, their LCM as L and their HCF as H. We have:
a * b = L * H
Step 2: We know that one of the numbers (a) is 40, the LCM (L) is 120 and the HCF (H) is 4. Substituting these values into the equation we get:
40 * b = 120 * 4
Step 3: Simplify the right side of the equation:
40 * b = 480
Step 4: Solve for b:
b = 480 / 40
b = 12
So, the second number is 12.
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