Answer:
26 and 19
Explanation:
Call the numbers a and b. Using the given information, you can write the equations ...
Adding these two equations gives ...
... 2a = 45 +7 = 52
... a = 52/2
... a = 26
From the second equation,
... b = a -7 = 26 -7
... b = 19
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Note that the solution for one of the numbers (generally, the larger number) is half the sum of the given numbers, that is, their average: (45 +7)/2 = 26. This is the general solution for any "sum and difference" problem: one solution is the average of the given numbers.