Question

2. The difference of two numbers is 3. Their sum is 13. What are the two numbers?

Equation 1:
Equation 2:
Solution:

Answer 1

The two numbers are x = 8 and y = 5

Explanation:

Let the two numbers be x and y

The difference of two numbers is 3 is represented as:

x - y = 3------------------Equation 1

Their sum is 13 is represented as:

x + y = 13----------------Equation 2

x - y = 3------------------Equation 1

Using method of Elimination by subtracting Equation 1 from Equation 2

x-x + y-(-y) = 13 - 3

2y = 10

y = 10/2

y = 5

Substituting y = 5 in Equation 2

x + 5 = 13

x = 13 - 5

x = 8

∴ The two numbers are x = 8 and y = 5