Answer:
The two numbers are 7 and 11.
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Step-by-step explanation:
Let A and B stand for the two numbers.
We are told that:
1) A+B=18, and
2) A-B=4
Take the first expression and rearrange to isolate A:
A+B=18
A=18-B
Use this in the second expression:
(18-B)-B=4
-2B = -14
B = 7
From (1) we find A:
A+B=18
A+7=18
A= 11
If A=11, then B=7 (from A+B=18)
CHECK:
Does A+B=18?
11 + 7 = 18? YES
Does A-B=4?
11 - 7 = 4? YES