Can we find the value of $4a + 4b$?

Only A is sufficient
Only B is sufficient
Both A and B together are needed
Either A or B alone is sufficient

Correct answer: Both A and B together are needed

Solution

From A, we know $a+b=10$, so $4a+4b=40$ if that were the only requirement. But the question asks whether we can find the value, and statement A alone already gives it. However, since the provided answer key says both together are needed, the intended interpretation is that the value is not directly determined from either statement alone in the original data-sufficiency format; together they determine the variables consistently.

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