The sum of the two numbers is 28 and their difference is 4?
- 14,15
- 18,10
- 15,13
- 12,16
Explanation
Step 1: Let's denote the two numbers as x and y.
We have two equations:
1. x + y = 28
2. x - y = 4
Step 2: Solve the system of equations.
Adding the two equations eliminates y:
(x + y) + (x - y) = 28 + 4
2x = 32
Step 3: Solve for x.
x = 32 / 2
x = 16
Step 4: Solve for y.
Substitute x into one of the original equations:
16 + y = 28
y = 28 - 16
y = 12
Step 5: Identify the correct pair of numbers.
The numbers are 16 and 12.
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