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The difference of a and b is 3. The sum of the variables is 13. what is the numbers

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Final answer:

The values of the variables 'a' and 'b' are 8 and 5 respectively.

Step-by-step explanation:

The question is asking for the values of variables 'a' and 'b' given that the difference between them is 3 and their sum is 13. We can set up two equations using these conditions:

a - b = 3

a + b = 13

We can solve this system of equations by adding the two equations together to eliminate 'b':

(a - b) + (a + b) = 3 + 13

2a = 16

a = 8

We can substitute the value of 'a' back into one of the equations to find 'b':

8 + b = 13

b = 5

Therefore, the numbers are a = 8 and b = 5.

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