If the sum of two numbers is 35 and difference is 13 then both the numbers will be:

Correct option is C

We are solving the following equations:

x + y = 35
x - y = 13

Step 1: Add the two equations

(x + y) + (x - y) = 35 + 13


2x = 48 $$\implies$$​ x = 24


Step 2: Subtract the second equation from the first

(x + y) - (x - y) = 35 - 13


2y = 22 $$\implies$$​ y = 11


Step 3: Verification
Sum: x + y = 24 + 11 = 35
Difference: x - y = 24 - 11 = 13

Thus, the two numbers are 24 and 11