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LCM of two numbers is 192. The numbers are in the ratio 3 4. Find the sum of the numbers.
1. 82
2. 112
3. 106
4. 100

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Correct Answer - Option 2 : 112

Given:

LCM of two numbers is 192

Ratio of two numbers = 3 : 4

Calculation:

Let, the numbers are = 3x and 4x.

LCM of the numbers = 12x

According to the question,

12x = 192

⇒ x = 16

The numbers are (3 × 16) = 48 and (4 × 16) = 64.

Sum of the numbers = (48 + 64) = 112

∴ Sum of the numbers is 112

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