The HCF and LCM of two numbers are 8 and 48 respectively If the ratio of the two numbers is 2 3 then...........

Quantitative Aptitude (CPO) LCM, HCF

The HCF and LCM of two numbers are 8 and 48 respectively. If the ratio of the two numbers is 2 : 3, then the larger of the two

numbers is:

This questions was previously asked in

SSC CPO 12th Dec 2019 Shift-2

- The two numbers can be denoted as 2x and 3x, reflecting their ratio of 2:3.

- The product of the two numbers equals the product of their HCF and LCM (i.e., 8 * 48).

- This means: 2x * 3x = 8 * 48.

- Simplifying the equation: 6x² = 384.

- Therefore, x² = 64, which gives x = 8.

- The larger number = 3x = 3 * 8 = 24.

- Correct Answer: Option 1 - 24.

- Option 2 (18), Option 3 (48), and Option 4 (16) are incorrect based on the given conditions.

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