Question

If $6 + 2 = 16$, $7 + 3 = 22$, then $8 + 4 = ?$

• A. 28
• B. 30
• C. 32
• D. 34

Hint:

When direct arithmetic patterns fail, check if a constant added/subtracted number varies systematically.

Answer 1

The Correct Option is B

Step 1: Verify the equation \(6 + 2 = 16\) against the formula \(a + b = a \times b + k\).
\[6 \times 2 + 4 = 12 + 4 = 16\]Step 2: Test the equation \(7 + 3 = 22\):
\[7 \times 3 + 1 = 21 + 1 = 22\]Step 3: Observe that the added constant decreases by 3 (from 4 to 1), indicating the next constant will be \(-2\).
Step 4: Compute \(8 + 4\):
\[8 \times 4 - 2 = 32 - 2 = 30\]Therefore, the result is 30.