Some equations are solved on the basis of a certain system. Find the correct…

In digit-based coded-equation puzzles, the '+' and '=' signs do not stand for ordinary arithmetic. Each two-digit number is split into its individual digits, and a single fixed rule — built from operations such as addition, subtraction, or multiplication on those digits — produces the stated result. That hidden rule must first be inferred from the worked equations already given, then applied unchanged to the equation being asked.

1. Split the first worked equation into digits: 75 gives 7 and 5; 23 gives 2 and 3.

2. Add the digits of the first number: 7 + 5 = 12.

3. Multiply the digits of the second number: 2 × 3 = 6.

4. Add the two results: 12 + 6 = 18, which matches the given equation exactly.

5. Test the same rule on the second worked equation: for 93 (digits 9, 3) the digit sum is 9 + 3 = 12, and for 35 (digits 3, 5) the digit product is 3 × 5 = 15; adding gives 12 + 15 = 27, which again matches.

6. Apply the confirmed rule to 62 + 84: for 62 (digits 6, 2) the digit sum is 6 + 2 = 8, and for 84 (digits 8, 4) the digit product is 8 × 4 = 32; adding gives 8 + 32 = 40.

Both given equations obey the same rule without exception — digit sum of the first number plus digit product of the second — so applying it consistently to 62 + 84 is reliable, and it lands on the value 40 among the options offered.

Hence, 62 + 84 = 40.