The LCM of two numbers is 120 and their HCF is 8. If one number is 32, what is t

₹0.0

Question: The LCM of two numbers is 120 and their HCF is 8. If one number is 32, what is the other number? (2023)

Options:

Correct Answer: 40

Exam Year: 2023

Solution:

Using the relation HCF * LCM = Product of the numbers, we have 8 * 120 = 32 * x, which gives x = 40.

The LCM of two numbers is 120 and their HCF is 8. If one number is 32, what is the other number? (2023)

The LCM of two numbers is 120 and their HCF is 8. If one number is 32, what is the other number? (2023)

Step 1: Understand the problem. We need to find the other number when we know the LCM (120), HCF (8), and one number (32).
Step 2: Recall the relationship between HCF, LCM, and the two numbers. The formula is: HCF * LCM = Number 1 * Number 2.
Step 3: Substitute the known values into the formula. We have: 8 (HCF) * 120 (LCM) = 32 (Number 1) * x (Number 2).
Step 4: Calculate the left side of the equation: 8 * 120 = 960.
Step 5: Now we have the equation: 960 = 32 * x.
Step 6: To find x (the other number), divide both sides of the equation by 32: x = 960 / 32.
Step 7: Calculate 960 divided by 32, which equals 30.
Step 8: Therefore, the other number is 30.

HCF and LCM Relationship – The relationship between the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers is given by the formula: HCF * LCM = Product of the two numbers.