Answer:
Smaller number = 24
Larger number = 28
Explanation:
Given two different numbers that add up to 52, and have a larger number that it 4 greater than the smaller one, two equations can be formed:
x + y = 52
y = (x + 4)
Where x is the smaller number, and y is the larger one.
Then just substitute, and solve for x:
y = (x + 4) → x + y = 52
→
x + (x + 4) = 52
2x + 4 = 52
2x = 48
x = 24
Since we now know the smaller number, just substitute this back into the equation to find the larger one, remember the larger number is 4 greater than the smaller one.
24 [smaller number] + 4 [difference] = 28 [larger number].
24 [smaller number] + 28 [larger number] = 52 [sum of the numbers]