Question

If 2 + 4 = 20 and 3 + 5 = 34, then 6 + 9 =

• A. 121
• B. 118
• C. 108
• D. 117

Hint:

For number puzzles, if the output value is significantly larger than the sum of the inputs, think of exponents (squares or cubes) or multiplication.
Here, \(2+4=6\) but the result is \(20\) (near the square of \(4\)). This immediately hints at checking squares!

Answer 1

The Correct Option is D

Step 1: Discover the hidden pattern.
2 + 4 = 20: try 2^2 + 4^2 = 4 + 16 = 20. Yes! Check: 3 + 5 = 34 and 3^2 + 5^2 = 9 + 25 = 34. Confirmed -- the rule is: result = a^2 + b^2.
Step 2: Apply the rule to 6 + 9.
\[ 6^2 + 9^2 = 36 + 81 = 117 \]
Step 3: Confirm the answer.
\[ \boxed{117} \]