The HCF of two numbers is 7 and their LCM is 84. If one of the numbers is 21, wh

The HCF of two numbers is 7 and their LCM is 84. If one of the numbers is 21, what is the other number? (2023)

The HCF of two numbers is 7 and their LCM is 84. If one of the numbers is 21, what is the other number? (2023)

Step 1: Understand the problem. We need to find the other number when we know the HCF (7), LCM (84), and one number (21).
Step 2: Recall the relationship between HCF, LCM, and the two numbers. The formula is: HCF * LCM = Number1 * Number2.
Step 3: Substitute the known values into the formula. We have: 7 * 84 = 21 * x, where x is the other number.
Step 4: Calculate the left side of the equation. 7 * 84 = 588.
Step 5: Now we have the equation: 588 = 21 * x.
Step 6: To find x, divide both sides of the equation by 21. So, x = 588 / 21.
Step 7: Calculate 588 divided by 21. This gives us x = 28.
Step 8: Therefore, the other number is 28.

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