Question : Two numbers are in the ratio 7 : 11. If their HCF is 28, then the sum of the two numbers is:
Option 1: 504
Option 2: 196
Option 3: 308
Option 4: 112
Correct Answer: 504
Solution :
If two numbers are in the ratio 7 : 11, then the numbers as $7x$ and $11x$, where $x$ is a common factor.
Given that their highest common factor (HCF) is 28. Such that $x = 28$.
So, the two numbers are 7 × 28 = 196 and 11 × 28 = 308.
Therefore, the sum of the two numbers is 196 + 308 = 504.
Hence, the correct answer is 504.
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