Two integers have a sum of - 44 and a difference of 22. The greater of the two integers is

-11

Step-by-step explanation:

The generic solution to ...

a + b = sum a - b = difference

Can be found by adding the two equations:

(a+b) + (a-b) = (sum) + (difference)

2a = (sum + difference)

a = (sum + difference) / 2

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Our particular solution is ...

a = (-44 + 22) / 2 = - 11

The greater of the two numbers is - 11.

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The other number is - 33.