If 33 is the sum of two numbers and 13 is their difference, then find the largest number.

Correct option is A

Given:

Sum of two numbers = 33

Difference of two numbers = 13

Solution:

Let 'x' be the larger number.

Let 'y' be the smaller number.

x + y = 33 --- (Equation 1)

x - y = 13 --- (Equation 2)

Add Equation 1 and Equation 2:

(x + y) + (x - y) = 33 + 13

2x = 46

x = 23

Solve for y 

23 + y = 33

y = 33 - 23

y = 10

The largest number is 23.

Option (A) is right.