Question

The sum of two numbers is 40 and their difference is 16. Find the numbers.

Answer 1

Given:

• Sum of two numbers = 40
• Difference of the two numbers = 16

Step-wise calculation:

1. Let the two numbers be (x) and (y).

2. According to the problem,

x + y = 40 

x – y = 16

3. Adding the two equations:

(x + y) + (x – y) = 40 + 16 

2x = 56

⇒ x = 28

4. Substitute (x = 28) into the first equation:

28 + y = 40 

y = 40 – 28

y = 12

The two numbers are 28 and 12.