The sum of two numbers is 45 and the difference is 7 what are the numbers

26 and 19

Step-by-step 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

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.

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