The product of two positive numbers is 1344 and their ratio is 7 12 The smaller of these numbers is ........

Quantitative Aptitude (MTS) Ratio, Proportion

The product of two positive numbers is 1344 and their ratio is 7: 12. The smaller of these numbers is:

This questions was previously asked in

SSC MTS 11th October 2021 Shift-1

112

Let's determine the smaller number based on the provided conditions:

- The product of two numbers is given as 1344.

- Their ratio is 7:12, meaning one number is 7 parts and the other is 12 parts.

- Let the smaller number be \(7x\), and the larger number be \(12x\).

- Setting up the equation: \(7x \times 12x = 1344\).

- Simplifying: \(84x^2 = 1344\).

- Solving for \(x^2\): \(x^2 = \frac{1344}{84} = 16\).

- Therefore, \(x = 4\).

- Smaller number is \(7x = 7 \times 4 = 28\).

Analyzing Options:

- Option 1: 16 - Not correct.

- Option 2: 28 - Correct.

- Option 3: 112 - Not correct.

- Option 4: 48 - Not correct.

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