Question

The sum of two numbers is 10. Their difference is 5. Write a system of equations and solve for both numbers.

Answer 1

x + x = 10

x - x = 5

2x = 10

x = 10/2

x = 5

Explanation:

Answer 2

The two numbers are 7.5 and 2.5

Explanation:

Givens

• Larger number = x
• Smaller number = y
• Sum = 10
• Difference =5

Equations

• x + y = 10
• x - y = 5

Solution

Add the 2 equations.

• 2x = 15 Divide by 2
• 2x/2 = 15/2 Divide
• x = 7.5

==========

x + y = 10

• 7.5 + y = 10
• y = 10 - 7.5
• y = 2.5

Answer

• x = 7.5 (Larger number
• y = 2.5 (smaller number)