The LCM and HCF of two positive numbers are 96 and 8 respectively If the sum of the numbers is 56 th...........

Quantitative Aptitude (MTS) LCM, HCF

The LCM and HCF of two positive numbers are 96 and 8, respectively. If the sum of the numbers is 56, then the difference

between the numbers is:

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SSC MTS 26th October 2021 Shift-3

- The LCM (Least Common Multiple) is 96, and the HCF (Highest Common Factor) is 8.

- When you multiply the LCM and the HCF of two numbers, it equals the product of those numbers.

- Therefore, if x and y are the numbers, xy = 96 * 8.

- It's given that the sum of the numbers, x + y, is 56.

- By solving the equations xy = 768 and x + y = 56, we find the numbers.

- Solving these, the equations give number pairs 32 and 24 (since 32 * 24 = 768 and 32 + 24 = 56).

- The difference between 32 and 24 is 8.

- Correct Answer: Option 2 — 8

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