The LCM of two numbers is 84 and their HCF is 12. What is the sum of the two num

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Question: The LCM of two numbers is 84 and their HCF is 12. What is the sum of the two numbers if they are in the ratio 2:7?

Options:

Correct Answer: 70

Solution:

Let the numbers be 2x and 7x. Then, HCF(2x, 7x) = x = 12, so x = 12. The numbers are 24 and 84. Their sum is 108.

The LCM of two numbers is 84 and their HCF is 12. What is the sum of the two numbers if they are in the ratio 2:7?

The LCM of two numbers is 84 and their HCF is 12. What is the sum of the two numbers if they are in the ratio 2:7?

LCM and HCF Relationship – The relationship between the Least Common Multiple (LCM) and Highest Common Factor (HCF) of two numbers, which states that the product of the two numbers is equal to the product of their LCM and HCF.
Ratios – Understanding and applying ratios to express the relationship between two quantities.
Algebraic Representation – Using variables to represent unknown quantities and solving equations based on given conditions.